A curve has an equation $y=-2{{x}^{2}}-8x+c$, where $c$ is a constant. In the case where \(c=10\

Question

A curve has an equation $y=-2{{x}^{2}}-8x+c$, where $c$ is a constant. In the case where $c=10$, find the set of values of $x$ for which $y > 0$. Find the range of values of $c$ for which the line $y=2x+4$ meets the curve.

Accepted Answer

(a) $-5<x<1$ (b) $c\ge-\frac{17}{2}$

Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

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