Question

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

Answer 1

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,

$D<0$

$B^2-4AC=0$

$\Rightarrow q^2-4pr<0$

$\Rightarrow q^2<4pr$