Question

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

Answer 1

E(x)=$x^{2}$+$(x \sqrt{3}$+1)^{2}-$(2x-1)^{2}$-2x($\sqrt{3}$+2)=$x^{2} +3 x^{2} +2x \sqrt{3}+1-4 x^{2}+4x-1-2x \sqrt{3}-4x$=0, oricare ar fi x real