Question

a) calcule x para que f(x) = 3/2

Answer 1

$\frac{1}{x-2} + \frac{1}{x-3} = \frac{3}{2}$

Tira o MMC e fica:

$\frac{2(x-3)}{2(x-2)(x-3)} + \frac{2(x-2)}{2(x-2)(x-3)} = \frac{(x-2)(x-3)}{2(x-2)(x-3)}$

Corta os denominadores:

2(x-3) + 2(x-2) = (x-2)(x-3)

2x-6+2x-4 = $x^{2}$ -3x-2x+6
 
$x^{2} +9x -16= 0$