# How do you use the discriminant to find the number of real solutions of the following quadratic equation: #2x^2 + 4x + 2 = 0#?

##### 1 Answer

Jun 27, 2015

#### Answer:

#### Explanation:

For a quadratic of the form

the solution roots are given by the quadratic formula:

The discriminant is the portion

if it is negative then the roots include a term which is the square root of a negative number; since there are no Real numbers whose square root is negative, when the discriminant is

If the discriminant is

and the quadratic has exactly one Real solution.

If the discriminant is