# How do you solve #sqrt(a-2)+4=a# and check your solution?

##### 1 Answer

Jan 17, 2017

#### Answer:

#### Explanation:

We start with:

Let's bring the 4 over to the right side so that we can square the square root:

Now let's bring all the terms to one side and set it to 0:

therefore

And now let's check our solutions:

~~~~~

And so our final solution is

We can also check this solution by graphing the left side and the right side:

graph{(y-sqrt(x-2)-4)(y-x)=0 [-4.79, 15.21, -1, 9]}