A Nice Math Olympiad Algebra Problem | How to solve!!

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Пікірлер: 12

  • @roger7341
    @roger734123 күн бұрын

    Quick solution, substitute x=y-3 and rearrange to (y^2-1)(y^2-9)-9=y^4-10y^2=0, which yields y=0 or y=0 or y=±√10 and x=y-3=-3 or -3 or -3±√10

  • @Geryboy666
    @Geryboy66624 күн бұрын

    -3 guessed it pretty early on. the others you have to calculate, nice problem.

  • @zeenaththaha9612
    @zeenaththaha961221 күн бұрын

    ❤🎉🎉🎉❤❤❤🎉🎉🎉

  • @rezaeyvazi.ir1992
    @rezaeyvazi.ir199224 күн бұрын

    Hello dear , it's fantastic 🎉🎉

  • @maxwellarregui814
    @maxwellarregui81423 күн бұрын

    Buenas tardes Señores. Gracias el video, ustedes resuelven una expresión de cuarto grado (polinomio) y hacen un resumen de sus raíces de tres, no queda claro la duplicidad de una de ellas, el resumen debe tener las cuatro soluciones. Éxitos

  • @user-cg5xv4zz2b
    @user-cg5xv4zz2b24 күн бұрын

    when the narator gets to u^2 + 8u - 9 = 0 - he did not realize that that is directly factorable to (u-1)(u+9) - this dumps the steps of 8u = 9u-u substitution - so 2 steps could have been skipped. - and x^2 + 6x + 9 = (x+3)^2 - more steps to skip

  • @user-fb1qo8go1b
    @user-fb1qo8go1b24 күн бұрын

    Дважды можно было использовать теорему Виета. И это было бы проще.

  • @cjlfilm
    @cjlfilm24 күн бұрын

    The solution does contain a lot of unnecessary confusing steps.

  • @ChrisManton
    @ChrisManton24 күн бұрын

    I let u = x + 3 at the start, then let v = u^2

  • @-wx-78-

    @-wx-78-

    24 күн бұрын

    Symmetry is invaluable.

  • @soshakobyan3123
    @soshakobyan312323 күн бұрын

    Olympiad problem???😊

  • @mohamedsalah5525
    @mohamedsalah552517 күн бұрын

    انت ولا حاجه