Question

1*) Resolva :

x / x - 2 +
4 / x + 2 =
x2 + 1 / x2 - 4


2*) Determine o valor de x na expressão :

x + 3 / x = 1 + 1 - 3 x / 2 x

Answer 1

$CE \\ x-2 \neq 0 \\ x \neq 2 \\ x+2 \neq 0 \\ x \neq -2$

$\frac{x}{x-2} + \frac{4}{x+2} = \frac{x^2+1}{(x+2)(x-2)} \\ \frac{x(x+2)+4(x-2)=x^2+1}{(x+2)(x-2)} \\ x^{2} +2x+4x-8= x^{2}+1 \\ 6x=9 \\ x=3/2$