Quadratic Functions, Equations and Inequalities - Quadratic Expressions Positive or Negative for All Real Values

Quadratic Functions, Equations and Inequalities - Quadratic Expressions Positive or Negative for All Real Values

IP 3

Find the range of values of \(a\) for which \({{x}^{2}}+ax+{{a}^{2}}-\frac{3}{2}\) is always positive for all real values of \(x\).

Solution:

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Answer:\(a<-\sqrt2\) or \(a>\sqrt2\).

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