Mathematics

If $\displaystyle \frac{3x}{(x-6)(x+a)}=\frac{2}{x-6}+\frac{1}{x+a}$ then $a$ =

ANSWER

$3$

SOLUTION
Given, $\displaystyle \frac{3x}{(x-6)(x+a)}=\frac{2}{x-6}+\frac{1}{x+a}$
$\Rightarrow 3x=2x+2a+x-6$
$\Rightarrow a=3$

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Single Correct Medium Published on 17th 09, 2020
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