# How do you solve #sqrt( 7x^2-1) + 1=3x#?

##### 1 Answer

#### Answer:

Rewrite this equation as a *quadratic* and solve for

#### Explanation:

The first thing you need to do in order to solve this equation is *isolate the radical* on one side of the equation.

To do that, add

Next, square both sides of the equation to get rid of the radical

Move all the terms on one side of the equation

You can use the *quadratic formula* to determine the two solutions

You need to check these two solutions to see if both are valid, i.e. if you don't have an *extraneous solution*.

For

This is equivalent to

Square both sides of the equation to get

For

This is equivalent to