Quadratic Functions, Equations and Inequalities - Nature of Roots of Quadratic Equations

Quadratic Functions, Equations and Inequalities - Nature of Roots of Quadratic Equations

TGM Original Questions

Given that the equation \(k\left( {{x}^{2}}+4x+7 \right)-8x-2=0\) has equal roots, find the values of \(k\).

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Answer:\(k=\dfrac{-7-\sqrt{97}}3\) or \(k=\dfrac{-7+\sqrt{97}}3\), approximately \(-5.62\) or \(0.950\) (3 s.f.).

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