A Nice Algebra Problem | Math Olympiad | Solve all values of x?

[@aravindhnagarathinam]

👍👍👍

[@SALogics]

Thanks for liking ❤

[@فیروزاهنگری]

x^4-2x^3-x^2-x^2+2x+1=0
x^2(x^2-2x-1)-(x^2-2x-1)=0
(x^2-2x-1)(x^2-1)=0
x^2-2x-1=0 , x=1+-√2
x^2-1=0. , x=+-1

[@davidseed2939]

yes, neat and simple, and for me easy enough for mental solution

[@SALogics]

Very nice! ❤