Quadratic Inequality involving Roots of an Equation
Quadratic Inequality involving Roots of an Equation
IP 3
- Find the range of values of \(p\) such that the equation \({{x}^{2}}-2x-px-\frac{1}{4}p=0\) has real roots.
- Find the range of values of \(k\) for which \((1-k){{x}^{2}}+9=4kx\) has real and distinct roots
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Answer:(a) \(p\le-4\) or \(p\ge-1\) (b) \(k<-3\), \(\frac34<k<1\), or \(k>1\)
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