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 \(\mathrm{f}\left( x \right)=\frac{1}{2}{{x}^{2}}+2x-3\) in the form of \(f(x)=\frac{1}{2}{{(x-h)}^{2}}+k\). Hence, solve \(\mathrm{f}\left( x \right)=0\).

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Answer:\(y=\frac{1}{2}(x+2)^2-5\) \(x=-2\pm\sqrt{10}\)

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