Russia | A Nice Algebra Problem

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[@johnlv12]

You missed some complex solutions. At 1:52, you should have x^4=(1-x)^4 OR x^4= -(1-x)^4.

[@user-xn6ii3kj4l]

(Х^8)^1/2=((х-1)^8)^1 /2 +_(х) ^8 =+_(х-1)^8 +_х=+_(х-1). Х=-(х-1) Х=-х+1 х+х=1 2х=1 х=1/2 .

[@giannaleoci2328]

x^4=(x-1)^4 x^4-(x-1)^4=0 [x^2-(x-1)^2]•[x^2+(x-1)^2]=0 (x^2-x^2+2x-1)•(x^2+x^2-2x+1)=0 1) 2x-1=0 x=1/2 2) 2x^2-2x+1=0 x=[2+-rq(4-8)]/4 x=[2+-2i]/4 x=(1+-i)/2