You can
put this solution on YOUR website!the value of the discriminant (b^2-4ac) indicates the nature of the roots
(b^2-4ac)>0 __ 2 real roots
(b^2-4ac)=0 __ 1 real root __ actually a double root; two roots with the same value
(b^2-4ac)<0 __ 2 complex roots