# How do you solve the quadratic equation by completing the square: #v^2 - 2v = 3#?

##### 1 Answer

#### Explanation:

Your starting quadratic equation looks like this

Now, to solve quadratic equations by completing the square you need to add a term to both sides of the equation such that the left side of the equation becomes the **aquare of a binomial**.

To do that, divide the *coefficient* of the **2** while **keeping** the sign, **square it**, and add the result to both sides of the equation.

In your case, you have

The quadratic becomes

The left side of the equation is equivalent to

You thus have

To solve this equation, take the square root from both sides of the equation

The two solutions to your equation are