# What kind of solutions does #5x^2 + 8x + 7 = 0# have?

##### 2 Answers

Quadratic has no real solutions

#### Explanation:

The key realization is that our quadratic is of the form

In our quadratic, we know

Notice, our discriminant is less than zero, so we are in scenario

Hope this helps!

The roots are all complex numbers.

#### Explanation:

The quadratic equation is

Here,

Substituting, we get

Simplify.

Here, we can already tell that the answers will be complex numbers. If you want to simplify further...