x/4 + 8/x = 3 This Algebra Equation is NOT so simple!

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Пікірлер: 167

  • @shelley131
    @shelley13126 күн бұрын

    I try and try to listen to your video but you go off on a tangent too much. Six minutes into the video and you have not begun solving yet. Would love to learn from you but you just talk and talk and talk and ...................................

  • @jackcrouch1285

    @jackcrouch1285

    26 күн бұрын

    He just wasted data space

  • @larryfedewa9636

    @larryfedewa9636

    26 күн бұрын

    My thoughts exactly. I fast-forwarded it.

  • @allanelliott5349

    @allanelliott5349

    26 күн бұрын

    X = 8

  • @lamper2

    @lamper2

    26 күн бұрын

    Do you not know how to drag the video forward?

  • @shelley131

    @shelley131

    26 күн бұрын

    @@lamper2 I do, but sometimes he will say something pertinent to me but than he goes off again. Not a problem, just won't watch any of this videos anymore. Anywho I'm retired living comfortably, but I love learning.

  • @richardcommins4926
    @richardcommins492627 күн бұрын

    To add fractions you need a common denominator like you were taught in 7th grade. To do this make the common denominator 4 * x. Then multiply each term by one to get (x/4 * x/x) + (8/x * 4/4) = 3 to get the equation (x^2 + 32) / 4x = 3 . Then multiply both sides by 4x to get x^2 + 32 = 12x and put equation in standard form of x^2 - 12x +32 = 0 . Then factor to (x - 4)*(x - 8) = 0 to get the answer of 4, 8. There is no need to find the lowest common denominator or to multiply the whole equation my some magic LCD of 4*x*1.

  • @chrisdissanayake6979
    @chrisdissanayake697927 күн бұрын

    X = 8 or x = 4

  • @Troyski.G
    @Troyski.G10 күн бұрын

    4 was the first number that made any sense in my mind and without having much of an understanding of algebra or the other methods used to solve this problem.

  • @almklit

    @almklit

    Күн бұрын

    I went for 8

  • @robertstuart6645
    @robertstuart664526 күн бұрын

    The key to solving is to get all of the terms under a common denominator. The result is a quadratic equation in the numerator, which is easily factored into the two solutions.

  • @lavanyasenthil3267
    @lavanyasenthil326722 күн бұрын

    To solve the equation x/4 + 8/x = 3, we can first multiply both sides of the equation by 4x to eliminate the fractions. (x/4 + 8/x) * 4x = 3 * 4x x^2 + 32 = 12x Next, rearrange the equation to set it equal to zero: x^2 - 12x + 32 = 0 Now, we can factor this quadratic equation: (x - 8)(x - 4) = 0 Setting each factor equal to zero gives us the possible solutions for x: x - 8 = 0 or x - 4 = 0 x = 8 or x = 4 Therefore, the solutions to the equation x/4 + 8/x = 3 are x = 8 or x = 4.

  • @roseperozzi6730
    @roseperozzi673027 күн бұрын

    Loved this… Thank You 🙏🏻

  • @JoeDoe1
    @JoeDoe126 күн бұрын

    Thank you John, I appreciate your content.

  • @biblebaptistchurch-alexand3228
    @biblebaptistchurch-alexand322826 күн бұрын

    Took me about 2 seconds to get 4 as an answer. But to do it on paper, we have x/4 + 8/x = 3. Multiply by 4x to get x^2 + 32 = 12x, or x^2 - 12x + 32 = 0, or (x - 8)(x - 4) = 0, so x = 8 and x = 4 are the answers. This could also be solved using the quadratic formula.

  • @pbanik
    @pbanik20 күн бұрын

    The answer is x=4 and/or x=8. It's simple by doing it in steps. The first step is subtract 8/x from each side of the equation, so x/4 = 3 - 8/x The next step is to multiply both sides by 4 so x = 4(3 - 8/x) or 12 - 32/x Then multiply each side by a factor of x. X^2 = 12x - 32 Then isolate the equation to one side. X^2-12x+32=0 This factors out to (x - 4)(x-8)=0 or x=4 and/or x=8

  • @wimharter
    @wimharter14 күн бұрын

    When solving equations you move terms from one side of the equals sign to the other and change the sign. Positive terms become negative, division becomes multiplication etc it is much more efficient.

  • @tomtke7351
    @tomtke735127 күн бұрын

    (x/4)+(8/x)=3 therefore x not= 0 x × {(x/4)+(8/x)=3} x^2/4+8=3x 4×{x^2/4+8=3x} x^2+32=12x x^2-12x+32=0 note => 2 solutions for x but not 0 the quadratic equation: [-b +/-sqrt(b^2-4ac)]/2a for x^2-3x+8=0 a=1 b=-12 c=32 so [-b +/-sqrt(b^2-4ac)]/2a [12+/-sqrt(144-128)]/2 [12+/-sqrt(16)]/2 [12+/-4]/2 sol.1 x=4 sol.2 x=8 verify (x/4)+(8/x)=3 sol.1 x=4 4/4 +8/4=?3 1+2=❤3✔️ sol.2 x=8 8/4+8/8=?3 2+1=❤3✔️

  • @leirbhreitenhbiussbh4914

    @leirbhreitenhbiussbh4914

    27 күн бұрын

    Gosh u r quick! Beat me to the answer set:-D

  • @cg0825

    @cg0825

    14 күн бұрын

    X =4 or 8. Multiply through by 4x and you'll have a quadratic so make it equal zero and use the quadratic formula to solve

  • @Astrobrant2
    @Astrobrant227 күн бұрын

    This was a good one. I labored for a long time before finally realizing that I had to get that x out of the denominator. So here comes the quadratic equation, and it was simple to solve.

  • @marscience7819

    @marscience7819

    22 күн бұрын

    Could you just have looked at it, and it is obvious that if you sub in x=4, both sides are gonna be the same?

  • @Astrobrant2

    @Astrobrant2

    20 күн бұрын

    @@marscience7819 Yeah, I kind of did a facepalm when I got the answers. Sure, one number plus another number equals 3. The first choice would be that one fraction is 1 and the other is 2. That would have been so easy. But I knew this was an algebra problem, so I tried to use algebra to solve it.

  • @user-vx4lb8rj8r

    @user-vx4lb8rj8r

    15 күн бұрын

    ​@@marscience7819and you missed the other value. there's actually two values for x.

  • @aryusure1943
    @aryusure194325 күн бұрын

    I am happy to inform you that your lessons have produced solid results. 6 months ago I would have given up on this one and now I can solve it using algebra. Now I'll watch the video to see if my method was the right one but I'm confident it was. :) Thanks!

  • @marscience7819

    @marscience7819

    22 күн бұрын

    Can't you just look at it, and it is 100% obvious that if you sub in x=4, it will work?

  • @aryusure1943

    @aryusure1943

    22 күн бұрын

    @@marscience7819 Yeap! But if you want to deal with tougher equations you need to learn algebra. In fact, I did not even think about plugging in the number 4 when I saw this problem. In other words I went from thinking like you did- totally fine- to thinking algebra first. So, I stand corrected in the sense that I would not have given up on the problem but I don't think the same way since I worked on my algebra skills which are still a work in progess BTW. ;) Try this one and see how you are doing without algebra: x/89 + 143/x = 542 Just a hint: number 4 won't work. ;)

  • @devonwilson5776
    @devonwilson577627 күн бұрын

    Greetings. Yes, we can. The answers are X=4, 8. The first thing that has to be done is to get rid of the fractions by multiplying throughout by 4X to get X^2-12X+32=0. Thereafter, we will factorize the equation to get (X-4)(X-8)=0. That is (X-4)=0, (X-8)=0 and X=4, X=8.

  • @WilfredEllerbeck
    @WilfredEllerbeck26 күн бұрын

    Thank you.

  • @KarlSnyder-jh9ic
    @KarlSnyder-jh9ic17 күн бұрын

    Use LCD to get the variable out of the denominators. Good Stuff.

  • @rainerzufall42
    @rainerzufall4224 күн бұрын

    It's simple enough, that I don't need to create the full quadratic equation. The mean of the roots is 3 (constant term) * 4 (recibrocal of linear term) / 2 = 12/2 = 6. Obviously x = 4 and x = 8 result in 1+2 or 2+1, both are 3. Or you calculate 8 (1/x term) * 4 (see above) = 32 = x_1 * x_2. Or you take the long way with x^2 - 12 x + 32 = 0 => x = -(-12)/2 +/- sqrt(36 - 32) = 6 +/- 2.

  • @nilskangas4188
    @nilskangas4188Күн бұрын

    I eliminated the denominators and went straight to the quadratic formula, all in my head and it took max 20 seconds...

  • @silviodias7540
    @silviodias754026 күн бұрын

    x/4 + 8/× = 3 = ? cruzando as duas frações, vem: x elv 2 + 4 X 8 / 4x = 3 x elv 2 + 32 = 12x x elv 2 - 12x + 32 = 0 que é uma equação do 2° grau a = x elv 2 = b = -12 c = 32 Dois números cuja soma seja - 12 e o produto seja 32. Ax + Sx + P =0 S = -4 + (-8 ) = - 12 P = -4 X (-8) = 32 Entoa as raizes da equação terão os sinais trocados: r1 = 4 e r2 = 8.

  • @riseagain-ow4gr
    @riseagain-ow4gr26 күн бұрын

    Thank you for your service 🙏 ❤️ 🤍💙

  • @mr.mxyzptlks8391
    @mr.mxyzptlks839124 күн бұрын

    I did not even think about using lcd. I just multiplied both sides by x and right there you have a quadratic equation… And, while factoring this out is nice, I am lazy and would just plug it into the formula😎

  • @gavindeane3670

    @gavindeane3670

    23 күн бұрын

    That's how I did it. The quadratic formula is burned into my brain

  • @CybeleCotter
    @CybeleCotter26 күн бұрын

    x=8 and x=4 solves it.

  • @duanebogan3836
    @duanebogan383626 күн бұрын

    Thank you Sir, for you're service too. Semper Fi! Sir I just added the 4 + 8 (adjacent diagonal numbers) = 12 / (4 lcd) = 3, x = 4 , easy peezy lemon squeezy right? Amen?

  • @user-vx4lb8rj8r

    @user-vx4lb8rj8r

    15 күн бұрын

    you missed an answer there's actually 2 values for x

  • @juergenilse3259
    @juergenilse325926 күн бұрын

    It is simple, if we state, that x is ot 0. In this case, we can multipl the equation withh 4x and get thhe quadratic equation. x^2-12x+32=0 which leads to the 2 solutions: x=6+-sqrt(4) x=4 or x=8 We can state, thhat x is not 0, because otherwise the term 8/x is undefined.

  • @drziggyabdelmalak1439
    @drziggyabdelmalak14393 күн бұрын

    That's so easy. You can see it has to be 4 and 8 just by looking at it!

  • @redbeard5598
    @redbeard559817 күн бұрын

    By inspection, x=8. Took about 30 secs. On further thought, x could also be 4.

  • @aryusure1943
    @aryusure194325 күн бұрын

    Well, I did it by taking care of the fractions first and then used the cross product to solve the problem. At the end I came up with the right equation anyway i.e. x Squared + 32 = 12x Then I substracted 12x from both sides, factored and came up with (x -4) (x - 8) = 0 and voilà! But I could have done it by multiplying the whole equation by 4x as you did. When I see fractions and an (=) sign I always think cross product. ;)

  • @lwh7301
    @lwh730126 күн бұрын

    After 50+ years of taking algebra, I got this with no problem. Easy peasy.

  • @bunobeatz5737
    @bunobeatz573720 күн бұрын

    What i don't get is the reason "Why" you put -12x in front of +32 =0. I cant understand the problem unless that's explained.

  • @kevinbaltes5710
    @kevinbaltes571022 сағат бұрын

    I solved this in 10 seconds. Easy. Multiply both sides by 4x, the lowest common denominator. x^2 + 32 = 12x. x^2 - 12x + 32 = 0. (x - 4)(x - 8) = 0. x = 4 or 8

  • @jennyhenningham4100
    @jennyhenningham410026 күн бұрын

    Took one look to ralize straight away just a quadratic equation -multiply through by 4x to make it look normal. I didn'y bothering spending 20 minutes to watch the video.

  • @panlomito
    @panlomito27 күн бұрын

    It all results in an equation x² - 12x + 32 = 0 so (x-4).(x-8) = 0 and x = 4 or x = 8

  • @ronkemper5860
    @ronkemper586026 күн бұрын

    4 quarters equals a dollar 8 quarters equals 2 dollars together they equal 3 dollars way easier

  • @bigdog3628
    @bigdog362812 күн бұрын

    super simple don't let the variable in the denominator scare you off. Like Sheldon Cooper, always wear a BOW TIE.

  • @russelllomando8460
    @russelllomando846027 күн бұрын

    got it 4 & 8 solved by sight easy calculation had to be 2 + 1 and 1 + 2 thanks for the fun

  • @rs4425

    @rs4425

    26 күн бұрын

    yea it was real easy

  • @erembald2927
    @erembald292727 күн бұрын

    Resolves to a quadratic x^2 - 12x + 32 = 0, I got the root numerically = 4 or 8

  • @wimharter
    @wimharter14 күн бұрын

    You should always use the quadratic equation. When I discovered the quadratic equation I was mad that math teachers wasted my time with factoring.

  • @GF86123
    @GF8612317 күн бұрын

    x = 8 or x = 4. Since this is a Quadratic equation, it should have two solutions.

  • @robertchaffee5662
    @robertchaffee566226 күн бұрын

    I had it with the bow tie method in the begining with 96/32.

  • @ebbi19401
    @ebbi1940126 күн бұрын

    Ok, if you want to go into quadratic equations. But simple logic gets y 13:04 13:04 13:04 y 13:04 y 13:04 ou there in seconds: 3 is a positive integer. Therefore no fractions possible. X therefore multiples of 4. Minimum 4, maximum 8. Try both. Voilà!

  • @mikehawk9902
    @mikehawk990210 сағат бұрын

    Looks like there are two solutions. x = {4,8}.

  • @sekharb6651
    @sekharb665124 күн бұрын

    X=4 ,2

  • @prakashanakandambeth3886
    @prakashanakandambeth38868 күн бұрын

    Come to the point than going on and on.

  • @Polymerbob
    @Polymerbob6 күн бұрын

    Everything ends up as a quadratic.

  • @terryjohinke8065
    @terryjohinke80657 күн бұрын

    x=8 and 4 Did it in my head.

  • @user-fj9yg1ni5b
    @user-fj9yg1ni5b26 күн бұрын

    See sir this is a mathematics to be calculated by Brainly,tricky,bodamus,pedamus.i don't think so general way of solving for solution is not necessary here.thank q for understanding me.

  • @corazonvalerio6618
    @corazonvalerio661820 күн бұрын

    8 and 4

  • @raya.pawley3563
    @raya.pawley356327 күн бұрын

    Thank you. x=4,8

  • @allenwallace9062
    @allenwallace906225 күн бұрын

    Since the answer was a whole number with no fraction and there are 2 even numbers in the equation , then x = even number. I tried 2 (nope) then 4(yep).

  • @nancychace8619
    @nancychace861925 күн бұрын

    Lol! Good review. I guess -20 won't quite fly! How'd I do that anyway?Thank God I don't work for Boeing! Thanks for sharing 🙂

  • @mikegallegos7
    @mikegallegos726 күн бұрын

    "...don't remember much of anything other than getting yelled at..." 😆😂 me: USMC 1963-69 Semper Fi, Brother!

  • @DanielPhillips-ny5sf
    @DanielPhillips-ny5sfКүн бұрын

    Its 8. Super easy. 😊

  • @truthcooperator4683
    @truthcooperator468327 күн бұрын

    I solved it in one sec, just looking at the thumbnail as the notification of the video appeared.

  • @omobolaalphonso6760
    @omobolaalphonso676021 күн бұрын

    The answer is X = +4 & +8

  • @GregHeck-my8en
    @GregHeck-my8en24 күн бұрын

    =4, 8

  • @user-fj9yg1ni5b
    @user-fj9yg1ni5b26 күн бұрын

    4*8=32/4=8

  • @dannyroosenboom3640
    @dannyroosenboom36403 күн бұрын

    3=12/4 so i need 4/4 + 8/4 wich means x=4

  • @PeggyGolden-hb4yr
    @PeggyGolden-hb4yr15 күн бұрын

    8

  • @ayadraoof4366
    @ayadraoof436623 күн бұрын

    C=4,x=8

  • @Michael-mo3gk
    @Michael-mo3gk6 күн бұрын

    4

  • @greglear50
    @greglear5026 күн бұрын

    8 or 4

  • @briangrier9352
    @briangrier935210 күн бұрын

    X=8 or X=4

  • @fredrickeffi2143
    @fredrickeffi214314 күн бұрын

    I am so 🎉happy I got it 🎉🎉🎉🎉

  • @user-qt4ss4xh5d
    @user-qt4ss4xh5d22 күн бұрын

    The answer is a straight forward 4

  • @gavindeane3670

    @gavindeane3670

    22 күн бұрын

    That's half the answer. x=8 is also a solution.

  • @thiyagarajahyogeswaranyoge3517
    @thiyagarajahyogeswaranyoge351722 күн бұрын

    X 4

  • @neal7668
    @neal766817 күн бұрын

    x=4 or x=8

  • @user-vd1tn1mo3p
    @user-vd1tn1mo3p10 күн бұрын

    Please remember the slower ones who need the explanation. Not everyone can understand as quickly as other. Do have patience for that special group who are not as up with it.

  • @kerrydoreen1150
    @kerrydoreen115027 күн бұрын

    Solutions are 8 and 4

  • @harrymatabal8448
    @harrymatabal844826 күн бұрын

    Just by looking at it I am saying x = 4 or 8

  • @DayanandPandey-ns5qc
    @DayanandPandey-ns5qc26 күн бұрын

    I tried &got x=4&x=8

  • @marye2815
    @marye281527 күн бұрын

    Why do we need algebra for this problem. I made the x 4 and did it in my head.

  • @biovmr

    @biovmr

    26 күн бұрын

    You did HALF of it in your head. Algebra provides a process to ensure you get ALL possible solutions. You can also get both solutions to this particular problem in your head, however, this is a VERY simple equation. Most are not.

  • @RRRSSS1111
    @RRRSSS111126 күн бұрын

    Could be 4 or 8.

  • @garyhalsey786
    @garyhalsey78627 күн бұрын

    4 or 8

  • @laurindapace2164
    @laurindapace216426 күн бұрын

    X=8,or x=4

  • @Shastasays
    @Shastasays25 күн бұрын

    X=4 or 8

  • @shakirhamoodi5009
    @shakirhamoodi50096 күн бұрын

    X=4, X=8

  • @sktan784
    @sktan78427 күн бұрын

    Four

  • @yemolala5307
    @yemolala530725 күн бұрын

    X=8 and X=4

  • @clmkc5393
    @clmkc539326 күн бұрын

    I used the bow tie method first and arrived at the quadratic equation quickly.

  • @anyaeledikeebi2308
    @anyaeledikeebi230812 күн бұрын

    X =4, 8

  • @htw9594
    @htw959426 күн бұрын

    Um, x= 8, or 4

  • @shotokanfl
    @shotokanfl8 күн бұрын

    X is 8 or 4.

  • @nocawesirayi6255
    @nocawesirayi625517 күн бұрын

    I don't really following you I mic your square root : ?

  • @rnsc8342
    @rnsc83423 күн бұрын

    A good example of why algebra is to complex to be other than useless for most of humanity. The answer here is obviously 4 . Far quicker to just try inserting a number and see what happens.And if you want to find the 8 you check and try a few more.

  • @GillesF31
    @GillesF3126 күн бұрын

    Yes ... or ... x/4 + 8/x = 3 Beware!: x can't be equal to zero x²/4x + 32/4x = 3 (x² + 32)/4x = 3 x² + 32 = 12x x² - 12x + 32 = 0 Δ = 12² - 4·1·32 = 144 - 128 = 16 √Δ = ±√16 = ±4 • root #1: x = (-(-12) + 4)/2·1 = (12 + 4)/2 = 8 • root #2: x = (-(-12) - 4)/2·1 = (12 - 4)/2 = 4 ------------- | x = 8 | ------------- | x = 4 | ------------- 🙂

  • @rajeshvyas934
    @rajeshvyas93426 күн бұрын

    X=8 X=4

  • @bjorkstrand7773
    @bjorkstrand777316 күн бұрын

    x=4

  • @avalagum7957
    @avalagum795726 күн бұрын

    Why not so simple? All the comments here prove the opposite.

  • @samswift4921
    @samswift492118 күн бұрын

    X=4

  • @johnaustin1825
    @johnaustin182526 күн бұрын

    3.66666 recurring

  • @adamkarolak3544
    @adamkarolak354426 күн бұрын

    Didnt watch, but cant agree with this not being easy. Even if you do it properly and transform into quadratic function, this can be solved fast in memory. x/4 + 8/x = 3 => x^2/4x + 32/4x = 3 => (x^2 + 32)/4x = 3 // *4x => X^2 + 32 = 12x // -12x => x^2 - 12x +32 = 0 => (x-4)(x-8) = 0 => x = 4 or x = 8

  • @eliaskhanmeh7399
    @eliaskhanmeh739917 күн бұрын

    ٣،٢

  • @eliaskhanmeh7399

    @eliaskhanmeh7399

    17 күн бұрын

    32/3*2

  • @bobarnold1423
    @bobarnold142325 күн бұрын

    Why all the bs. 4over 4 is 1. 8 over 4 is 2 1 plus 2 is 3.

  • @bobarnold1423

    @bobarnold1423

    25 күн бұрын

    This is was basic grade school math. You need to quite making it difficult

  • @gavindeane3670

    @gavindeane3670

    24 күн бұрын

    Whilst I agree that this could probably be explained in somewhat less than 20 minutes, you have only got half the answer there. x=8 is also a solution.

  • @laurindapace2164
    @laurindapace216426 күн бұрын

    X=1

  • @DianeNeubert-ni3hu
    @DianeNeubert-ni3hu26 күн бұрын

    X=2

  • @hkchetry5439
    @hkchetry543926 күн бұрын

    You explain to much which deviate from yr target.we don't have too much time to explain the problem.Pse shorten the explanation.

  • @user-vd1tn1mo3p

    @user-vd1tn1mo3p

    10 күн бұрын

    Please remember there are others here who are not as knowledgeable as others. Have patience with the slower ones, ok. This is a how teaching goes.

  • @clovissimard3099
    @clovissimard309925 күн бұрын

    x=8

  • @seshadrikannan7406
    @seshadrikannan740623 күн бұрын

    X=8

  • @afhtas
    @afhtas19 күн бұрын

    Love your videos. But you lost me on this one😊😂

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