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

Show that the equation \(-{{x}^{2}}+\left( k+2 \right)x+{{k}^{2}}+5=0\) has real roots for all real values of \(k\).

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Answer:\(-x^2 + (k+2)x + k^2 + 5 = 0\) has real roots for all real values of \(k\) (shown)

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