Question

Se considera expresia E(x)=(x+4) ori (3x-2)-3(x+1)² +11 supra 4x³(x+1) impartit 1 supra x²(x+1)
2)E(x) =x²+(x√3+1)² - (2x-1)²-2x(√3 +2).Aratati E (x) =0 pentru orice numar real x.

Answer 1

E(x)={[(x+4)(3x-2)-3(x+1)² +11 ]/4x³(x+1) }: 1/x²(x+1)
E(x)={[(3x²+12x-2x-8)-3(x²+2x+1) +11]/4x³(x+1)} · x²(x+1)/1
E(x)=(3x²+12x-2x-8-3x²-6x-3 +11) /4x
E(x)=(4x-11 +11) /4x
E(x)=4x /4x
E(x)=1

2)E(x) =x²+(x√3+1)² - (2x-1)²-2x(√3 +2).Aratati E (x) =0
E(x) =x²+3x²+2x√3+1 - 4x²+4x-1-2x√3 -4x
E(x) = 0