Question

se considera E(x)=x²+(x√3+1)²-(2x-1)²-2x(√3 + 2).Aratati ca E(x)= 0 pentru orice numar real x

Answer 1

$E(x)=x^2+(x\sqrt3+1)^2-(2x-1)^2-2x(\sqrt3 + 2) \\ \\ E(x) = x^2+x^2\cdot 3+2x\sqrt3+1-(4x^2-4x+1)-2x\sqrt3-4x \\ \\ E(x) = 4x^2+2x\sqrt3+1-4x^2+4x-1-2x\sqrt3-4x \\ \\ E(x) = 0$