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Solving Using Quadratic Formula When D>0

Solve the fol...

Question

Solve the following equation:
$\sqrt{5 - x^{2}} = x - 1$

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Solution

$\sqrt{5 - x^{2}} = x - 1 5 - x^{2} = {(x - 1)}^{2} 5 - x^{2} = x^{2} - 2 x + 1 2 x^{2} - 2 x - 4 = 0 x^{2} - x - 2 = 0 (x - 2) (x + 1) = 0 x = - 1, 2$

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