From the quadratic formula, we can see that the two roots of the Quadratic Equation are –
[mathtype] And [mathtype]
Or [mathtype]
Where [mathtype]
The nature of the roots of the equation depends upon the value of D, so it is called the discriminant.
Based on the value of the discriminant,[mathtype] , the roots of a quadratic equation can be of three types.
Case 1: If D>0, the equation has two distinct real roots.
Case 2: If D=0, the equation has two equal real roots.
Case 3: If D<0, the equation has no real roots.