Question

Escreva na forma ax + bx + c = 0
1/x + - 1 /x + 2 =2

Answer 1

$\\ \frac{1}{x} + \frac{x-1}{x+2} =2 \\ \\ mmc=x(x+2) \\ \\ \frac{1(x+2)+x(x-1)}{x(x+2)} = \frac{2*x(x+2)}{x(x+2)} \\ \\ 1(x+2)+x(x-1) = 2x(x+2) \\ \\ x+2+x^2-x=2x^2+4x \\ \\ x^2+2 = 2x^2+4x \\ \\ 2x^2-x^2+4x-2=0 \\ \\ x^2+4x-2$

$\\ a=1 \\ b=4 \\ c=-2$