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 set of values of \(k\) such that the equation \({{x}^{2}}+\left( k-4 \right)x+\left( 3k-6 \right)=0\) has \(2\) real distinct roots.

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Answer:\(k<10-2\sqrt{15}\) or \(k>10+2\sqrt{15}\).

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