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Solving a Quadratic Equation by Completion of Squares Method

Solve the fol...

Question

Solve the following quadratic equation by completing the square method.
$x^{2} + 2 x - 5 = 0$

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Solution

$x^{2} + 2 x - 5 = 0$

$x^{2} + 2 x + 1 - 1 - 5 = 0$

$(x + 1)^{2} = 6$
$x = - 1 \pm \sqrt{(} 6)$

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