Question

E(x)=x la puterea 2+(x radical din 3+1) totul la puterea 2-(2x-1) totul la 2-2x(radical din 5+2)
Aratati ca E(x)=0

Answer 1

$E(x)= x^{2} + (x \sqrt{3}+1) ^{2} - (2x-1)^{2} - 2x( \sqrt{5} +2)$[tex]E(x)= x^{2} +3 x^{2} +2 \sqrt{3} x + 1 - (4 x^{2} -4x+1) - 2 \sqrt{5} x - 4x [/tex]$E(x)= 4 x^{2} +2 \sqrt{3} x +1- 4 x^{2} +4x-1-2 \sqrt{5} x -4x \\ E(x)= 2 \sqrt{3}x - 2 \sqrt{5} x \\ E(x)= 2x( \sqrt{3} - \sqrt{5} )$