# How do you write a quadratic equation with a root of #-3+2i#?

##### 1 Answer

Jun 21, 2017

#### Explanation:

If one root is

We can use the **sum and product of the roots** to create a quadratic equation.

**1. Find the sum of the roots:**

**2. Find the product of the roots:**

**3. Use the formula #x^2 - Sx + P# and plug in the sum for S and the product for P.**

This is your quadratic equation!