Question

$\frac{1}{x+1} + \frac{1}{x+2} = \frac{2}{x+10}$

Answer 1

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Answer 2

$<u><b>Hi !$

Here is your answer !!

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A.T.Q.

$\bf\frac{1}{x + 1} + \frac{1}{x + 2} = \frac{2}{x + 10} \\ \\ = > \bf \frac{1(x + 2) + 1(x + 1)}{(x + 1)(x + 2)} = \frac{2}{x + 10} \\ \\ = > \bf \frac{x + 2 + x + 1}{ {x}^{2} + 2x +x + 2 } = \frac{2}{x + 10} \\ \\ = > \bf \frac{2x + 3}{ {x}^{2} + 3x + 2 } = \frac{2}{x + 10 } \\ \\ = > \bf(2x + 3)(x + 10) = ( {x}^{2} + 3x + 2)(2) \\ \\ = > \bf {2x}^{2} + 20x + 3x + 30 = {2x}^{2} + 6x + 4 \\ \\ = > \bf 23x - 6x = 4 - 30 \\ \\ = > \bf 17x = - 26 \\ \\ = > \bf \: x = \frac{ - 26}{17} \: \: \: \: \: \: \: ans$

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