# How do you solve #sqrt(15-2x)=x#?

##### 2 Answers

You square both sides of the equation and solve the resulting quadratic equation.

#### Explanation:

The first thing you need to do in order to solve this equation is to get rid of the square root by squaring both sides of the equation.

This will get you

Next, move all the terms on one side of the equation

You can easily solve this one by using the *quadratic formula*, which states that, for any quadratic equation that takes the form

In your case,

This means that you get

The two solutions for

Check to see if the two solutions are valid

and

Therefore, the only solution to this equation is

Square both sides and then solve as a quadratic to obtain:

#### Explanation:

Since

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