Completing the Square to Solve Quadratic Equations
Completing the Square to Solve Quadratic Equations
TGM Original
- Express \({{x}^{2}}-6x-13\) in the form \({{(x-a)}^{2}}-b\), where \(a\) and \(b\) are integers.
- Hence, solve the equation \({{x}^{2}}-6x-13=3\) giving your answers correct to \(2\) decimal places.
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Answer:(i) \({{\left( x-3 \right)}^{2}}-22\) (ii) \(8\) or \(-2\)
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