# How do you solve #v^ { 2} - 6v = 35# by completing the square?

##### 2 Answers

Apr 17, 2017

By completing the square, we see that

so in order to solve it we can solve

By setting

Apr 17, 2017

#### Explanation:

Completing the square is a process where one would manipulate the polynomial such that it could be factored into the form (variable +/- number) squared.

The trick to finding the third term in the polynomial is

With that in mind, we add 9 to both sides, and simplify.

Now we can take the square root of both sides, and solve for v.