Solving Quadratics via Completing the Square

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Jason
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\(x^{2} + 9x - 3 = 0\)

\(x^{2} + 9x = 3\)

\((\dfrac{9}{2})^{2} = \dfrac{81}{4} \)

\(x^{2} + 9x + \dfrac{81}{4} = 3 + \dfrac{81}{4} \)

\((x + \dfrac{9}{2})^{2} = \dfrac{93}{4}\)

\(\sqrt{(x + \dfrac{9}{2})^{2}} = \sqrt{\dfrac{93}{4}}\)

\(x + \dfrac{9}{2} = \pm \dfrac{\sqrt{93}}{2}\)
 

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