Japanese | Math Olympiad | How to solve for X in this problem ?
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Пікірлер: 45
When we get x^2+71=0 or x^2=--71 ,we can easily say that it is not valid for real value .
By inspection I can see that the numerator and denominator are essentially symmetrical. And the obvious answer being X = 0.
@is7728
2 ай бұрын
Yes I noticed that too
@junkmail4613
2 ай бұрын
I concur
@jim2376
2 ай бұрын
Exactamundo.👍👍
@user-kz3tn5sr6t
Ай бұрын
@@junkmail4613йффффффффффффффффффффффйф
Interesting, so the key is to notice that 7+10=17 and 8+9=17, so that we can regroup the terms and obtain similar developments in the form of x^2+17x+constant. Thanks
If 0
@Nepomenik
2 ай бұрын
Exactly! With added x>0 and not equal to 7, 8 ,9 or 10, this is the most elegant proof.
5:51 Could have added 1 on both sides, then completed the square. So (a+1)²=(b+1)². Then take square root on both sides. So a+1=±(b+1) and then proceed.
@professorsargeanthikesclim9293
Ай бұрын
Excellent.
By looking at the four factors composing the denominator, the solutions can't be 7, 8, 9 and 10. Furthermore, provided there are four factors at the denominator (an even number), and showing the same constants of the factors in the upper side of the fraction, with just their signs changed, it can be deduced that one solution in R is 0, like many comments correctly say below. From observing the equation there's another consequence: the shape of the resulting equation will be x^4+ax^3+bx^2+cx+d = x^4-ax^3+bx^2-cx+d where a, b, c, d >0 and the x terms power 0, 2, and 4 are the same on both sides of the equation. Hence, they will cancel each other, and the resulting equation will have the form ax^3+cx=0 where both a and c will be >0. Therefore, the resulting equation will have the form x(x^2+A)=0 (A=a/c) where A>0, which means that there's one only solution in R: x=0.
By inspection x=0
Easy, X=0. 👍
Very clear ! x=0
Gary has it right!!Analyze first!!!!!!!
x^2 +71 = 0 discriminant to see there are no real solutions?
@samuelbenet007
2 ай бұрын
À cette équation, tu vois tout de suite que S={∅} ^^
😮
I ❤ Mathematics
@learncommunolizer
Ай бұрын
Thank you very much!
Доказать ответ, который лежит на поверхности...
Solvable by the fastest way😭
By inspection x = 0 works. (56 x 90)/(56 x 90) = 1. We're positive upstair and downstairs.
Уважаемые, скажите кому и для каких целей нужны такие уравнения? В школе так вообще замучаешься решать, один пример за урок, на большее времен не хватит.
Nothi g to calculate.x=0 is a solution because 7*8*9*10= (-7)*(-8)*(-9)*(-10) For x real x+7 ,> x-7 and Rhein same for the other ( ) therefore nominator is greaterthan denominator conclude nominator/denom. Is 1 für Real x
I got answer in 1minute by putting value of x ....
Very good
@learncommunolizer
2 ай бұрын
Thank you very much!!
Factorial
Зачем так длинно решать ??? (a+1)(a+2)/-{(a+1)}{-(a+2)}=1 при чёрном или -1 при печатном умножителей ???
asnwer=1x
There is a second solution if we accept x to be infinitely large.
X=0
X=1
Х=0.
Х = 0
X=3 in one minute
@anjukhandu
2 ай бұрын
For 1680 wala problem
Решение за 20 секунд. Х равен 0.
0
X = + (‐) 1
0
X=0