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
The equation \(\left( k+4 \right){{x}^{2}}+8k=\left( 8k+4 \right)x\) has no real roots. Find the range of values of \(k\).
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Answer:\(1-\dfrac{\sqrt2}{2}<k<1+\dfrac{\sqrt2}{2}\). The bounds are approximately \(0.293\) and \(1.71\) (3 s.f.).
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