Quadratic Functions, Equations and Inequalities - Solving Quadratic Equations by Completing the Square

Quadratic Functions, Equations and Inequalities - Solving Quadratic Equations by Completing the Square

Secondary 3

Express \(\mathrm{f}\left( x \right)={{x}^{2}}-x-5\) in the form of \(y={{(x-h)}^{2}}+k\). Hence, solve \(\mathrm{f}\left( x \right)=0\).

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Answer:\(y=\left(x-\frac{1}{2}\right)^2-\frac{21}{4}\) \(x=\frac{1\pm\sqrt{21}}{2}\)

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