Question

# If $$p,q,r \in R$$ and the quadratic equation $$p{x^2} + qx + r = 0$$ has no real root, then

Solution

## Given that,$$p{{x}^{2}}+qx+r=0$$    $$p,q,r$$$$\in R$$We know that if a quadratic equation has no real root then,$$D<0$$$${{B}^{2}}-4AC=0$$$$\Rightarrow {{q}^{2}}-4pr<0$$$$\Rightarrow {{q}^{2}}<4pr$$Mathematics

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