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

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[@roger7341]

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

[@zeenaththaha9612]

❤🎉🎉🎉❤❤❤🎉🎉🎉

[@rezaeyvazi.ir1992]

Hello dear , it's fantastic 🎉🎉

[@maxwellarregui814]

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

[@Geryboy666]

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

[@user-fb1qo8go1b]

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

[@user-cg5xv4zz2b]

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

[@ChrisManton]

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

[@-wx-78-]

Symmetry is invaluable.

[@cjlfilm]

The solution does contain a lot of unnecessary confusing steps.

[@mohamedsalah5525]

انت ولا حاجه

[@soshakobyan3123]

Olympiad problem???😊