Consider the general quadratic equation

ax^{2}+bx+c=0. The quantity

**b**^{2}-4ac is called the

**discriminant **of the quadratic equation and determine the type of root which arises from a quadratic equation.
When

**b**^{2}-4ac > 0 The equation has two real roots.
**b**^{2}-4ac < 0 The equation has no real roots.
**b**^{2}-4ac = 0 The equation has one repeated root.

(If the

discriminant is negative, the roots are

complex, and this page can not display the complex number. The output will be "None").