Math, asked by InfamousReddy27, 6 months ago

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

Answers

Answered by rajeevr06
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

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