Math Olympiad | How to solve for "a" and "b" in this problem ?

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  • @irahartoch1075
    @irahartoch10752 ай бұрын

    There are 6 solutions a =25, b = 24 a = -25, b = -24 a = 25, b = -24 a = -25, b = 24 a = 7, b = 0 a = -7, b= 0 The squares cancel out all the negatives.

  • @user-nl6jv9ob7z

    @user-nl6jv9ob7z

    Ай бұрын

    Есть еще решение : а=-7, в=0

  • @bertthebird2341

    @bertthebird2341

    Ай бұрын

    ​@@user-nl6jv9ob7zThis is solution #6.

  • @jeffw1267

    @jeffw1267

    Ай бұрын

    This is pretty obviously a Pythagorean triple of the form 7-24-25. I noted that 49 is the square of 7, and the two variables are also squares, so they had to be 25^2 and 24^2.

  • @davereynolds739

    @davereynolds739

    Ай бұрын

    My question is what did the Math Olympiad have as the correct answer?

  • @michaelhuppertz6738

    @michaelhuppertz6738

    Ай бұрын

    Even more than 6: example (a,b) = (+/-9, sqrt(32)),+/8, sqrt(15),..., without definition D= for (a,b) there are many more, the presenter should limit D to integer only.

  • @yuki2go
    @yuki2go3 ай бұрын

    a=±7 b=0 a=±25 b=±24

  • @jaume65bcn

    @jaume65bcn

    3 ай бұрын

    Good, our youtuber friend made the tipical mistake of the beginner.

  • @jeanpaulangevin8618

    @jeanpaulangevin8618

    3 ай бұрын

    @@jaume65bcnon va pas faire de sport on est à l’école de mon père il va me donner une petite cuillère 😅😅😅😅😅😅😅😅😅😅😅😅😅😅😅😅😅😅😅😅😅

  • @jeanpaulangevin8618

    @jeanpaulangevin8618

    3 ай бұрын

    On va pas faire de sport on est à

  • @Demon_703

    @Demon_703

    2 ай бұрын

    it will give the same answer so that he skip this a step(Square cancels the negative)

  • @giuseppe3y3

    @giuseppe3y3

    2 ай бұрын

    Wrong! Wrong!

  • @yardenvokerol4253
    @yardenvokerol42533 ай бұрын

    x²+y²=R² x=b, y=7, R=a therefore, the equation represents the circle b²+7²=a², and has infinitely many solutions in ℝ

  • @profemarcoresuelve

    @profemarcoresuelve

    3 ай бұрын

    Esta mal su comentario. Si hay infinitas soluciones y estas pertenecen a la grafica de la Hipérbola.

  • @markdaniel8740

    @markdaniel8740

    3 ай бұрын

    ​@@profemarcoresuelvebefore you say that someone is wrong, make sure that you are right. X^2 + y^2 = r^2 will define a circle with radius r that is centered at the origin A hyperbole has more variables to define the focal point

  • @pm-os7lz

    @pm-os7lz

    3 ай бұрын

    Totally makes sense. However, I view the problem not as one trying to find out how many solutions there are, but one that is trying to find specific solutions based on the relationship between a and b.

  • @profemarcoresuelve

    @profemarcoresuelve

    3 ай бұрын

    @@markdaniel8740 Primero hay que identificar quienes son las variables en el problema. Las variables son a y b, y 49 es la contante ,por consiguiente la igualdad a²-b²=7² que se esta planteando pertenece a la ecuación de la hiperbola que esta centrada en el origen. Lo que ud ha planteado b²+7²=a², no es la ecuación del circulo amigo

  • @rainerinedinburgh5807

    @rainerinedinburgh5807

    Ай бұрын

    That's only half correct. The equation x²+y²=r² only represents a circle if x and y are variable and r is the fixed radius. Here you are fixing y=7 (to be more precise, you're fixing y²=7², i.e. |y|=7), and allowing x=b to be one variable, and the radius a to be variable too. For any specific |a|>7, the equation actually represents the four points at which the circle x²+y²=a² intersects the two lines y=7 and y=-7. For |a|

  • @peterbyrne6394
    @peterbyrne63942 ай бұрын

    Thank you, very comprehensible explanation.

  • @SALogics
    @SALogics27 күн бұрын

    nice explanation ❤

  • @XfeeXg
    @XfeeXg2 ай бұрын

    Đây là dạng hàm số Y=(X*2+ C)^2 Cho biến số X mọi giá trị sao cho X*2 lớn hơn hoặc bằng C ( nếu C nhỏ hơn không), thì đạt được giá trị tương ứng của Y. Tồn tại vô số cặp nghiệm Cặp nghiệm nguyên dễ nhận ra nhất của đẳng thức a*2 - b*2=49 là a =+ - 7 b =0 ( a phải khác 0)

  • @pm-os7lz
    @pm-os7lz3 ай бұрын

    Let a=n and b=n-c, where c is a constant. Thus a^2 - b^2 = 49 can be written as n^2 - (n-c)^2 = 49. Solving for c gives, c = (n^2 - 49)^(1/2) + n. Plug c back into b. Thus, b = -(n^2 - 49)^(1/2). So, if a = n, then b = -((n^2 - 49)^(1/2)). So, a^2 - b^2 = 49 = n^2 - (-(n^2 - 49)^(1/2))^2 = 49, for n >= 7 and n

  • @alibarka6490
    @alibarka64903 ай бұрын

    ❤❤

  • @elaineassis9743
    @elaineassis97433 ай бұрын

    🎉🎉🎉

  • @lnmukund6152
    @lnmukund61522 ай бұрын

    In common right angle triangle 7^2= 24+25, consecutive nos in the middle, as per vedic 7^2+24^2=25^2, rest is best known Mukundsir

  • @gheffz
    @gheffz2 ай бұрын

    Excellent. Thanks.

  • @learncommunolizer

    @learncommunolizer

    2 ай бұрын

    Thank you very much!!

  • @learncommunolizer
    @learncommunolizer3 ай бұрын

    Note; {a,b} are elements of Natural numbers which are counting numbers or positive integers, Otherwise we will have many solutions

  • @lanisilvious7098

    @lanisilvious7098

    3 ай бұрын

    But the question does not say so. And you do not say so in the video. How does one know from looking at question?

  • @is7728

    @is7728

    3 ай бұрын

    Ok thanks for clarifying🙂

  • @is7728

    @is7728

    3 ай бұрын

    And maybe you can pin your comment so that more viewers know this.

  • @gerar2158

    @gerar2158

    3 ай бұрын

    Los número naturales no incluyen el cero. Son los números enteros.

  • @HedwigBleicher

    @HedwigBleicher

    Ай бұрын

    ​@@gerar2158El cero es un número natural porque para mucha gente una cuenta bancaria de cero desafortunadamente es natural

  • @sudhangshubhattacharya4991
    @sudhangshubhattacharya4991Ай бұрын

    We know that any odd integer = difference between the square values of two consecutive integers

  • @profemarcoresuelve
    @profemarcoresuelve3 ай бұрын

    Incluso \sqrt{59} y \sqrt{10} son soluciones . Por eso se debe plantear bien el problema. Te explico , en realidad hay infinitas soluciones . Las soluciones son todas todos los pares ordenados(x;y) que pertenecen a la grafica de la Hiperbola.

  • @lnmukund6152
    @lnmukund61522 ай бұрын

    Mr devdas, It is simple, 49=7^2=24+25 7^2+24^2=25^2, this is applicable 4 all odd no squares Mukundsir

  • @ajeethpandey
    @ajeethpandey2 ай бұрын

    One equation n two variables it means infinite solutions !

  • @zawatsky
    @zawatskyАй бұрын

    4:50 для нахождения b проще воспользоваться вторым уравнением системы: ▫a-b=1; ▫-b=1-a; /-1 ▫b=a-1=25-1=24.

  • @cachotrelles4715
    @cachotrelles47153 ай бұрын

    Sensacional explicación 👏👏👏👌👌

  • @mtbbk

    @mtbbk

    3 ай бұрын

    Ja

  • @user-gk1in7on1l
    @user-gk1in7on1lАй бұрын

    Я решил это задачу за 20 секунд. Мне 56 лет. Работаю сапожником 😅

  • @adityagajjar3118
    @adityagajjar31182 ай бұрын

    Yes he some ans correct.

  • @mathewjohn8126
    @mathewjohn8126Ай бұрын

    Thanks 😊

  • @learncommunolizer

    @learncommunolizer

    Ай бұрын

    You're welcome! Thank you very much!

  • @Ed19601
    @Ed196013 ай бұрын

    Lots and lots of possibilities. The first that comes to mind is ±7 and 0 The next is ±8 and ±sqr15 Next one ±9 and ±sqr32 But also ±sqr50 and ±1 Etc.......... ±25 and ±24 Etc.........

  • @donsena2013

    @donsena2013

    3 ай бұрын

    I think the presenter wanted to consider only integer values of a and b

  • @marscience7819

    @marscience7819

    Ай бұрын

    There are an infinity of solutions. One equation, 2 unknowns.

  • @highworks3398
    @highworks33982 ай бұрын

    Works only if it is Natural numbers

  • @davidtorresbenitez4114
    @davidtorresbenitez41143 ай бұрын

    El planteamiento está incompleto no se establece correctamente las condiciones o se están asumiendo condiciones no planteadas

  • @purnamishra
    @purnamishra3 ай бұрын

    This is not correct math. You should have shared your assumptions at the beginning. You are assumung both a and b to be >= 0 and are integers. Otherwise, in this case it is one equation with two variables. So there are multiple values for both a and b. If you assume a to be dependent and b is independent then for all values of a (both positive and negative), there is a value for b. Please each correct math.

  • @humbertorodriguezperez1214

    @humbertorodriguezperez1214

    3 ай бұрын

    He is assuming that b >= 0 and a > b (or else a^2 - b^2 =< 0), as well as that both are integers. And right, he should have said he was assuming these premises before starting solving the problem

  • @dnickaroo3574

    @dnickaroo3574

    2 ай бұрын

    Why take so long to derive such a simple result, after the above assumptions are given?

  • @pas6295

    @pas6295

    2 ай бұрын

    கரேக்ட்

  • @shushantadebnath5630

    @shushantadebnath5630

    2 ай бұрын

    This is not the correct solution for the math.

  • @bertthebird2341

    @bertthebird2341

    Ай бұрын

    ​@@pas6295What language is this?

  • @johngeier8692
    @johngeier86922 ай бұрын

    It took me a few seconds to solve this problem in my head . A =. 25 or -25, B = 24 or -24.

  • @kurtsalm2155

    @kurtsalm2155

    2 ай бұрын

    I doubt that.

  • @PeterGeo2
    @PeterGeo26 сағат бұрын

    (a+b)*(a-b)=7*7 => (a+b)/7=7/(a-b). 7 can be divided only by 1 or by 7 and so on.

  • @abasmohammed-zw6pz
    @abasmohammed-zw6pz21 сағат бұрын

    There are 6 solutions as @purnamishra put it above.so please check again

  • @TexasHoosier3118
    @TexasHoosier31182 ай бұрын

    7, 24,25 pythagorean triplet

  • @topquark22
    @topquark22Ай бұрын

    Much easier way to find a solution in integers: a^2 = b^2 + 7^2 and there's a well-known pythagorean triple, 7^2 + 24^2 = 25^2, so a = 25 and b = 24. Note this doesn't guarantee to have found all solutions.

  • @neicardenuto9359
    @neicardenuto935912 сағат бұрын

    There are inf solutions along the circle of radio 7 ; a2 + b2 = 7^2

  • @user-ce9rg8ee9k
    @user-ce9rg8ee9k2 ай бұрын

    😅 да ты Энштейн !!! Всю тетрадь исписал, чтобы решить одно маленькое уравнение 😅

  • @pojuellavid

    @pojuellavid

    2 ай бұрын

    Заграница всегда так решает, для дебилов.

  • @is7728
    @is77283 ай бұрын

    Did you say that a and b are natural numbers?

  • @mtbbk

    @mtbbk

    3 ай бұрын

    Yes

  • @is7728

    @is7728

    3 ай бұрын

    ​@@mtbbk If so, then at what time?

  • @mtbbk

    @mtbbk

    3 ай бұрын

    @@is7728 Oh he did not say but from the answer we can say yes

  • @is7728

    @is7728

    3 ай бұрын

    @@mtbbk I understand but there are indeed infinitely many solutions if the question isn't well-written

  • @jessewallis6589

    @jessewallis6589

    3 ай бұрын

    What are some other solutions?

  • @farmerjohn6192
    @farmerjohn61922 ай бұрын

    How about a 7, 24, 25 common right angle triangle

  • @jeffw1267

    @jeffw1267

    Ай бұрын

    I spotted that in a fraction of a second, after noting that 49 is 7^2 and that both the variables are also squared. It's recommended that students memorize the smallest Pythagorean triples for college entrance exams. These are 3-4-5, 5-12-13, 8-15-17, and 7-24-25.

  • @gerar2158
    @gerar21583 ай бұрын

    ¿Cómo salen las soluciones?. Si se hace a=bk (con “k”constante). De ahí, operando algebraicamente se desprende que b=(7*((k+1)(k-1))^1/2)/(k+1)(k-1). En consecuencia, para cada valor de “k" existirá un par ordenado (a,b) que es solución. para A^2-b^2=49

  • @momus1234
    @momus12343 ай бұрын

    Only b>0, Plus a =0, b =-7

  • @user-ee7nw2rx9s
    @user-ee7nw2rx9s2 ай бұрын

    Почему не все ответы? Если а= - 7, b=0 это одно из решений, которого нет в ответе, также а=-25, b=-24, тоже будут решение Всего существуют 6 решений которые не указаны как решение

  • @tomripleyro
    @tomripleyro22 күн бұрын

    shouldn t you add that a and b are positive or at most eqal to 0?

  • @kurthaas6186
    @kurthaas61862 ай бұрын

    625 - 576 = 49. 25^2 = 625; 24^2 = 576. Die Frage ist nur, welche 2 aufeinanderfolgenden Zahlen 49 ergeben. Die Berechnung funktioniert geht so auf, weil die Exponenten dieselben sind.

  • @user-bt9hv7ce4e
    @user-bt9hv7ce4e3 ай бұрын

    전제 조건이 자연수?

  • @marscience7819
    @marscience7819Ай бұрын

    Umm, 2 unkowns, one equation. That means specific solutions are impossible, you need another equation! Is there an additional specification, like a and b have to be integers?

  • @henk-ottolimburg7947
    @henk-ottolimburg7947Ай бұрын

    The difference of 2 consecutive squares is an odd number. a and b differ 1 it's 49/2, so that leads to 24-25 Are there any other solutions? a and b differ 2 is no good, the squares differ by two odd numbers, so that's even. could they differ 3? That would be (x-2)+ x + (x+2), average x, 49 is not divisable by 3. Neigther is it divisable by 5. But it is divisable by 7, so (x-7)+(x-5) etc. average x=7 1+3+5+7+9+11+13=49, so 0 and 7. Written down like this it seems complicated, but take the first and fourth line and write that in a table

  • @gonzalofernandezramon6954
    @gonzalofernandezramon6954Күн бұрын

    I haven't heard that a and b should be integer numbers.

  • @gerar2158
    @gerar21583 ай бұрын

    Para la reflexión de los amigos. ¿Son esas las únicas soluciones?. Por ejemplo: a=14/3(3)^1/2; b=7/3(3)^1/2, ¿es solución?.Si es correcto, ergo, hay infinitas soluciones. salvo que se pidan solo soluciones en el campo de los Z (números enteros) exclusivamente, cosa que no se aclara.

  • @SankaranArumugam-xl1hc
    @SankaranArumugam-xl1hc2 ай бұрын

    A 8 b 5

  • @Bill-uo6cm
    @Bill-uo6cm3 ай бұрын

    7, 0

  • @venkatesank3841
    @venkatesank38412 ай бұрын

    Two more answers. a+b = -7. a-b = -7. In this case a = -7; b = 0.

  • @DimaCharapko
    @DimaCharapko5 күн бұрын

    Do have maht adulation besayd school?

  • @johnlay3040
    @johnlay304026 күн бұрын

    The easiest solution is a=7 and b=0

  • @abdellahlemjidi8141
    @abdellahlemjidi8141Ай бұрын

    -7._7=49

  • @antonkamolov2385
    @antonkamolov238518 күн бұрын

    How to unsee that. And this channel. Omg.

  • @ziyadxanaliyev3906
    @ziyadxanaliyev3906Күн бұрын

    a+ b = 7 ; a- b = 7 ;a +b = a - b , 2b = 0 b = 0 ; a + b = 7 , a - b = 7 ответ : а = 7 , b = 0 .

  • @zbigniewdubrawa7176
    @zbigniewdubrawa71762 ай бұрын

    A=b+1 a=25;b=24

  • @thichhochoi766
    @thichhochoi76620 сағат бұрын

    49 = 24.5 x 2? Who said a, b must be integer?

  • @rumetiskl6560
    @rumetiskl65603 ай бұрын

    7 24 25 pysagor

  • @dardoburgos3179
    @dardoburgos3179Ай бұрын

    a= 24, b=23.

  • @michaelsteinberg1
    @michaelsteinberg13 ай бұрын

    There are an infinite number of solutions. I'm not satisfied with this approach.

  • @user-bk6gx7sg3j
    @user-bk6gx7sg3j2 ай бұрын

    Two unknowns, one equation. Cannot be done. The answer will be speculative. Clearly, a or b is 7, at the same time the other must be 0. The since we have two unknowns in one equation, we have no way of binding the solutions to the variables. Everything else done or said here is nothing but meaningless mathematical gymnastics

  • @xpthewindowsguygaming
    @xpthewindowsguygaming2 ай бұрын

    Thêm điều kiện của bái toán a and b phải là số nguyên

  • @professorsargeanthikesclim9293

    @professorsargeanthikesclim9293

    Ай бұрын

    Apparently nonnegative, in fact.

  • @mokaralavenkataramana7741
    @mokaralavenkataramana77413 ай бұрын

    Use Pythagoras

  • @romanaskarov1019
    @romanaskarov10192 ай бұрын

    Я в уме без решения нашел корни. И так ясно a=7, b=0.

  • @tanklar1
    @tanklar13 ай бұрын

    a=7 b=0 , a is not -7 ,it is imposible, I solved the problem

  • @saikrishnavedula8330
    @saikrishnavedula83302 ай бұрын

    Only person could solve is Modi.

  • @pas6295
    @pas62952 ай бұрын

    +8ஆர்-8அண்ட் +5ஆர் -5

  • @zlisiecki
    @zlisieckiАй бұрын

    a = 7, b = 0

  • @WB8BRA
    @WB8BRA2 ай бұрын

    a=56 b=7 a-b = 49 Ok, so I guessed ... it was sure as hell easier that the above. Ok, I am not a math person, but am I wrong???

  • @HedwigBleicher

    @HedwigBleicher

    Ай бұрын

    Yes , you are right that you are wrong. It is a^2-b^2=49=7^2.

  • @professorsargeanthikesclim9293

    @professorsargeanthikesclim9293

    Ай бұрын

    Don't ignore the squaring and don't only look for one solution if not specified.

  • @awwa2004
    @awwa20043 ай бұрын

    2а=50. Из этого СРАЗУ получается а=25. Зачем сначала все делить на 2, потом сокращать 2, и получать 25. Для кого вы читаете математику? Тот кто смотрит это, тот уже кое что смыслит в математике. Эти подробности раздражают. Смотреть не хочется. Это какой-то незыблемый метод и без него сам лектор не может?

  • @user-dv8gv3hu4t
    @user-dv8gv3hu4t2 ай бұрын

    Solution by insight 64-25=49 a=8, b=5

  • @HedwigBleicher

    @HedwigBleicher

    Ай бұрын

    64-25=39.

  • @htewyyewt-lk6go
    @htewyyewt-lk6go19 күн бұрын

    bro forgor plus or minus

  • @vijayalaxmiadulla5735
    @vijayalaxmiadulla57353 ай бұрын

    Forty nine❌ Foty nin✅

  • @ravindrakumarjha5257
    @ravindrakumarjha52572 ай бұрын

    कैसे संभव है यदि a+b बड़ा होगा a-b से तो a+b=7 and a - b=7 not possiable

  • @heinrich.hitzinger

    @heinrich.hitzinger

    2 ай бұрын

    a+b>=a-b means a+b>a-b or a+b=a-b

  • @entertainmentzone6838
    @entertainmentzone68383 ай бұрын

    a=± 7 & b= 0

  • @tanklar1

    @tanklar1

    3 ай бұрын

    a cannot be -7. a=7 b=0 I solved the problem

  • @entertainmentzone6838

    @entertainmentzone6838

    3 ай бұрын

    @@tanklar1 why?

  • @tanklar1

    @tanklar1

    3 ай бұрын

    @@entertainmentzone6838 because a+b=a-b=7

  • @tanklar1

    @tanklar1

    3 ай бұрын

    @@entertainmentzone6838 a-b=a+b=7

  • @entertainmentzone6838

    @entertainmentzone6838

    3 ай бұрын

    @@tanklar1 a+b=-7 & a-b=-7 also

  • @ameyasnair7559
    @ameyasnair75592 ай бұрын

    8*8=64-5*5=25

  • @HedwigBleicher

    @HedwigBleicher

    Ай бұрын

    64-25=64-20-5=44-5=39≠49

  • @sriindrawati7572
    @sriindrawati75722 ай бұрын

    A=25 B=34

  • @user-ce9rg8ee9k

    @user-ce9rg8ee9k

    2 ай бұрын

    Ага = 59 😅

  • @lanisilvious7098
    @lanisilvious70983 ай бұрын

    OK so. . .idiot question. Why only use the positive factors (1 × 49)(49 × 1)(7 × 7)? (-1 × -49) = 49. (-49 × -1) = 49. (-7 × -7) = 49 For example, using -1 and -49 (-1 > -49) a + b = -1 a - b = -49 2a = -50 a= -25 b = -24 Check: a^2 - b^2 = 49 -25 can be squared (-25)^2 = 625 -24 can be squared (-24)^2 = 576 625-576 = 49 Try -7 and -7 a + b = -7 a - b = -7 2a = -14 a = -7 b = 0 Check a^2 - b^2 = 49 (-7)^2 - 0^2 = 49 -7 can be squared (-7)^2 = 49 So a^2 is 49 if a = -7 49 - 0^2 = 0 0 squared is 0 So b squared = 0 49 - 0 = 49 So i got (a,b) = (7, 0) or (25, 24) or (-7, 0) or (-25, -24). So. . .why are negative factors not factors? Where is the error in my math?

  • @sadhumetta6770

    @sadhumetta6770

    3 ай бұрын

    I was going to ask the same question as well.

  • @Mal1234567
    @Mal1234567Ай бұрын

    Now solve it using calculus.

  • @Mal1234567

    @Mal1234567

    Ай бұрын

    All those who think calculus can't be used to solve this, raise their hands.

  • @user-ec5ip3vp2r
    @user-ec5ip3vp2r2 ай бұрын

    (25;24)(7;0)(-25;-24)(-7;0)

  • @EA-ig3nd
    @EA-ig3nd17 күн бұрын

    It ist not correct. Pythagoras: a²+b2=c2 Here: c²+b²=a² 7²+b²=a² When you change the value from b so you change automatically the value from a So you have endless possibilities

  • @deusimperator
    @deusimperatorАй бұрын

    -7 -25 -24 are all forgotten in your answers THUMBS DOWN

  • @marinaasstra2604
    @marinaasstra26042 ай бұрын

    Это если a и b больше 0

  • @professorsargeanthikesclim9293

    @professorsargeanthikesclim9293

    Ай бұрын

    And integers.

  • @MARINAZUL1
    @MARINAZUL1Ай бұрын

    Cuidado... Estas llegando a unas conclusiones matemáticas que no tienen logica

  • @devadas4994
    @devadas49943 ай бұрын

    2. 2 a. - b. =. 49. , a > b 49+1. =. 50 ÷ 2 =25 2 2 25 > 24 25. 24. = 49. Verify 625 - 576. =. 49 So simple..... I follow this short cut method Shortcut square root method.. 15 x 15. = 225+ 15+15+1. =. 31 16 x 16. =. 256+ 16+16+1. =. 33 17x17. =. 289+ 17+17+1 =. 35 18x18. =. 324+ 18+18-1. =. 37 19x19. =. 361+ 19+19+1 =. 39 20x20. =. 400+ 20+20+1.=. 41 21x21. 441+ 21+21+1. =. 43 22x22. =. 484+ 22+22+1.=. 45 23x23. =. 529+ 23+23+1. = 47 24x24. = 576+ 24+24+1. =. 49 25x25. =. 625+ 25+25+1. =. 51 26x26. =. 676+ 26+26+1. =. 53 27x27. =. 729+ 27+27+1. =. 55 28x28. =. 784+ 28+28+1. = 57 29x29. =. 841+ 29+29+1. =. 59 30x30 =. 900+ 30+30+1. =. 61 31x31. =. 961+ 31+31+1. =. 63 32x32. = 1024+ 32+32+1. =. 65 33x33. =. 1089+ 33+33+1. 67 34x34. =. 1156+ 34+34+1. 69 35x35. =. 1225+ 35+35-1. =. 71 36x36. =. 1296+ 36+36+1. =. 73 37x37. =. 1369+ 37+37+1. =. 75 38x38. =. 1444+ 38+38+1 =. 77 39x39. 1521+ 39+39-1. =. 79 40x40. 1600 If you go on adding the two multiplying number plus 1, you will frame square numbers of subsequent numbers easily

  • @07spartak65
    @07spartak6523 күн бұрын

    Можно решить в уме. Спасибо образованию СССР. Мне 60,решила гораздо быстрее.

  • @evrankorkut8915
    @evrankorkut89153 ай бұрын

    Uygun bir soru degil, hemde kolay

  • @olokzn
    @olokzn3 ай бұрын

    It's not completely

  • @davidplanet3919
    @davidplanet39192 ай бұрын

    Your not checking the solution at the end. You can trust the maths. Your really checking you didn’t make a mistake

  • @yurigreenchuke5572
    @yurigreenchuke5572Ай бұрын

    a^2 - b^2 = 7^2 => a=7, b=0. Not perfect hindu logic

  • @user-tt6mt6ko9k
    @user-tt6mt6ko9k3 ай бұрын

    Бред.

  • @atulbesra822
    @atulbesra8222 ай бұрын

    This is mediocre way of doing math. And the fellow thinks it is Olympiad level maths.😅

  • @daudbayat7477
    @daudbayat7477Күн бұрын

    This is very wrong. Also too many steps. Here is the right answer A=4 B= 3 4×4 =16 3×3= 9 . 16- 9=7.

  • @bismarckvazdacosta9078
    @bismarckvazdacosta90783 ай бұрын

    This is wrong

  • @Uttrediay
    @Uttrediay3 ай бұрын

    If you have memorised squares, you know the answer.

  • @robertloveless4938

    @robertloveless4938

    3 ай бұрын

    That's how I did it. Took about 15 seconds. Just gobup the number line by odd numbers, keep track of how many numbers used. EASY PEASY.

  • @Uttrediay

    @Uttrediay

    3 ай бұрын

    Not to brag, but I used a fraction of a second to recall that the difference between 25 and 24 squared is 49 (625 minus 576).

  • @alfredofettuccine9425

    @alfredofettuccine9425

    2 ай бұрын

    No need to memorize anything: any odd number 2n+1 is the difference between 2 consecutive numbers n and n+1 squared…

  • @ernestodelacruz9392
    @ernestodelacruz93922 ай бұрын

    No solution. One equation two unknown

  • @professorsargeanthikesclim9293

    @professorsargeanthikesclim9293

    Ай бұрын

    Incorrect. Infinitely many, unless specified to be integers or nonnegative integers.

  • @bartowka
    @bartowka3 ай бұрын

    Just no. Stop.

  • @tapasdatta4851
    @tapasdatta48516 күн бұрын

    Very poor skill of teaching.

  • @user-el3yn5gh4p
    @user-el3yn5gh4p3 ай бұрын

    😮много лишней информации, бык❗

  • @user-bm5fi4fy8j
    @user-bm5fi4fy8jАй бұрын

    答え a=7 b=0