SOLUTION: Please help me to solve this so I can understand the process of solving radical expressions. I am using this one as an example for me to go by. √X − 2 + 1 = 6

Algebra ->  Radicals -> SOLUTION: Please help me to solve this so I can understand the process of solving radical expressions. I am using this one as an example for me to go by. √X − 2 + 1 = 6       Log On


   

Question 292605: Please help me to solve this so I can understand the process of solving radical expressions. I am using this one as an example for me to go by.
√X − 2 + 1 = 6

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
It's a little difficult to understand what your problem actually is.

I'm guessing that it is:

sqrt%28x-2%29 + 1 = 6

If that's true, then you solve it by doing the following:

Subtract 1 from both sides of the equation to get:

sqrt%28x-2%29 = 5

Square both sides of the equation to get:

x-2 = 25

add 2 to both sides of the equation to get:

x = 27

Confirm this answer is good by plugging it into the original equation to see if the equation is true.

The original equation is:

sqrt%28x-2%29 + 1 = 6

Replace x with 27 in this equation to get:

sqrt%2827-2%29 + 1 = 6

Simplify this to get:

sqrt%2825%29 + 1 = 6

Simplify further to get:

5 + 1 = 6

Simplify further to get:

6 = 6 which is true, confirming that your answer of x = 27 is correct.