Calculate the values of $c$ for which $2{{x}^{2}}-3x+c$ is always greater than $-2$. Find the

Question

Calculate the values of $c$ for which $2{{x}^{2}}-3x+c$ is always greater than $-2$. Find the range of values of $m$ for which ${{x}^{2}}+mx+3m$ is always greater than $8$ for all real values of $x$.

Accepted Answer

(a) c > -7/8; (b) 4 < m < 8.

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

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

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