# A quadratic equation has a discriminant of 14. What is the number and type of solutions of the equation?

##### 1 Answer

It has two distinct Real solutions.

If the coefficients of the quadratic equation are rational (e.g. integers), then we can be sure that those solutions will both be irrational.

#### Explanation:

A quadratic equation of the for

#Delta = b^2 - 4ac#

It has roots given by the quadratic formula:

#x = (-b +-sqrt(b^2-4ac))/(2a) = (-b+-sqrt(Delta))/(2a)#

The discriminant

So if

If

If

If