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

##### 1 Answer

This equation has 2 solutions:

#### Explanation:

In the equation there is a square root, so first you have to calculate the domain.

In this case the experssion under root sign is

Now we can calculate the solutions.

We start with raising both sides to the second power

Now we can solve the quadratic equation:

Now we have to check if any of calculated solutions are in the domain.

We checked that both solutions are in the domain, so we can write the answer:

This equation has 2 solutions: