Question

Two distinct real roots............

Answer 1

if discriminant,

$b {} ^ {2} - 4ac > 0$

two distinct real roots exist

Answer 2

A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there are two distinct roots.