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Solving a Quadratic Equation by Completion of Squares Method

Solve x2-5x...

Question

Solve $x^{2} - 5 x - 36 = 0$ .

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Solution

Given,
$x^{2} - 5 x - 36 = 0$

$⟹ x^{2} - 9 x + 4 x - 36 = 0$

$⟹ x (x - 9) + 4 (x - 9) = 0$

$⟹ (x - 9) (x + 4) = 0$

$⟹ x = 9, - 4$

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