# How do you find the discriminant and how many and what type of solutions does #x^2 + 10x + 25 = 64# have?

##### 1 Answer

The quadratic has two real solutions. (The solutions are

#### Explanation:

To find the discriminant, first bring everything to one side of the equation:

Now, use the

Discriminant:

Since the discriminant is positive, the quadratic has two real solutions.

To solve for the solutions, you can use the quadratic formula:

Or you could factor the quadratic:

Or you could take the original problem and square root both sides:

Hope this helped!