# How do you use the discriminant to determine the numbers of solutions of the quadratic equation #4x^2-20x + 25 = 0# and whether the solutions are real or complex?

##### 1 Answer

one real root

root is

#### Explanation:

Quadratic equations will have one or two roots (either real or complex roots)

Let our quadratic equation be

And

Then the discriminant of this quadratic equation will be

Comparing the given quadratic equation with the general quadratic equation

we get the values of

The Discriminant will be

the roots are real and equal (Only one root)

Hence the equation must be a perfect square

Hence the root of the equation is