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Integration by Substitution

Solve the fol...

Question

Solve the following equation:
$1 - \sqrt{1 + 5 x} = x$

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Solution

$1 - \sqrt{1 + 5 x} = x 1 - x = \sqrt{1 + 5 x} 1 + x^{2} - 2 x = 1 + 5 x x^{2} - 7 x = 0 x (x - 7) = 0 x = 0, 7$

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