Question

Find the condition for which the roots of the equation $a{x}^2+bx+c=0$ be real and distinct.

Answer 1

If the roots of the equation $a{x}^2+bx+c=0$ be real and distinct then we must have the discriminant of the equation should be $>0$.

Then we must have,

$b^2-4ac>0$.

This is the required condition.