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Rezolvati in multimea R ecuatia : x(x-1)^2-x(x+1)^2+(2x+1)^2=0<br />Detaliat, va roog! Dau 40 de puncte...

Răspuns :

x(x-1)²-x(x+1)²+(2x+1)²=0
x(x²-2x+1)-x(x²+2x+1)+(4x²+2·2x+1)=0
x³-2x²+x-x³-2x²-x+4x²+4x+1=0
x³-x³-2x²-2x²+4x²+x-x+4x+1=0
-4x²+4x²+4x+1=0
4x+1=0
4x=-1
x=-1/4