Question

Consider the quadratic equation $a{x}^2+bx+c=0$. Now find a relation among $a,b,c$ if the quadratic equation have two real distinct roots.

Answer 1

Given the quadratic equation is $a{x}^2+bx+c=0$. Now this equation will have two distinct real roots if the discriminant of the equation is $>0$.

Now the discriminant of the quadratic equation is $b^2-4ac$.

Now the required condition is $b^2-4ac>0$.