Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

IP 3

Solve the inequality \(x(5-6x)>1\). If the equation \({{x}^{2}}-(p-2)x+1=p(x-2)\) is satisfied by only one value of \(x\), what are the possible values of \(p\)?

Solution:

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Answer:\(\frac13<x<\frac12\); \(p=0,4\).

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