Question

Solve
X+1. x-2
___. + ____. =3 (×=/ 1,-2)
X-1. X+2

Answer 1

HELLO DEAR,

$\frac{x + 1}{x - 1} + \frac{x - 2}{x + 2} = 3 \\ \\ \frac{(x + 1)(x + 2) + (x - 1)(x - 2)}{(x - 1)(x + 2)} = 3 \\ \\ = \frac{ {x}^{2} + 2x + x + 2 + {x}^{2} - 2x - x + 2}{ {x}^{2} + 2x - x - 2} = 3 \\ \\ = \frac{2 {x}^{2} + 4}{ {x}^{2} + x - 2 } = 3 \\ \\ = 2 {x}^{2} + 4 = 3 {x}^{2} + 3x - 6 \\ \\ = {x}^{2} + 3x - 10 = 0 \\ \\ = {x}^{2} + 5x - 2x - 10 = 0 \\ \\ = x(x + 5) - 2(x + 5) = 0 \\ \\ = (x - 2)(x + 5) = 0 \\ \\ x = 2 \\ \\ \: \: \: \: \: \: \: or \: \: \: \: \\ \: \: x = - 5$
I HOPE ITS HELP YOU DEAR,
THANKS