Question

Equação de 2º grau: x-3/(x^2-4) +1 = 1/(x-2)

Answer 1

.
$\frac{x-3}{ x^{2} -4} +1= \frac{1}{x-2} \\ \\ \frac{x-3}{(x+2)(x-2)} +1= \frac{1}{x-2} \\ \\ com~~x \neq 2~~~e~~x \neq -2 \\ \\ mmc=(x+2)(x-2) \\ \\ x-3+1(x+2)(x-2)=x+2 \\ \\ x-3+ x^{2} -4=x+2 \\ \\ x^{2} +\not x-\not x=2+3+4 \\ \\ x^{2} =9 \\ \\ x=\pm \sqrt{9} \\ \\ x=\pm3 \\ \\ S=\{-3,3\}$