# How do you solve #2x^2 + 7 = 3x#?

##### 2 Answers

#### Answer:

This equation has no real solutions.

#### Explanation:

When we encounter a quadratic equation, we often want to write it in the form

Sometimes it is easy to spot solutions, for instance is we have

When we again look at the general form

In this case we get

#### Answer:

Use the quadratic formula to find the complex solutions:

#### Explanation:

First subtract

This is in the form

The discriminant

Since