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

Find the range of values of \(a\) such that the equation \({{x}^{2}}+\left( 2a-4 \right)x+\left( 4a-6 \right)=0\) has real roots.

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Answer:\(a\le4-\sqrt6\) or \(a\ge4+\sqrt6\).

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