Question

$\frac{x - 4}{x^{2} - 5x - 2k} = \frac{2}{x - 2} - \frac{1}{x + k}$ . Find the value of k.

Answer 1

Step-by-step explanation:

$\frac{2}{x - 2} - \frac{1}{x + k} = \frac{2x + 2k - x + 2}{ {x}^{2} - 2x + kx - 2k } = \frac{x + 2k + 2}{ {x}^{2} - x(2 - k) - 2k}$

a/q comparing it with LHS,

2–k = 5

K = 2–5 = –3

Ans.