Question

Resposta : A
Preciso do cálculo

Answer 1

$\frac{2}{1+x} + \frac{1}{(1+x)^{2}} = 1 (mmc = (1+x)^{2}) \\ \\ \frac{2(1+x)+1}{(1+x)^{2}}= \frac{(1+x)^{2}}{(1+x)^{2}} \\ \\ 2(1+x)+1=1+2x+x^{2}=2+2x + 1 = 1+2x+x^{2} \\ \\ 3+2x = 1+ 2x + x^{2} \\ \\ x^{2}+ 1 - 3 = 0 \\ \\ x^{2}-2 = 0 \\ \\ x^{2}= 2 \\ \\ \sqrt{x^{2}}= \sqrt{2} \\ \\ x= \sqrt{2} \\ x = - \sqrt{2}$

Espero ter ajudado.