SOLUTION: Hello, I know the answer is 14 to the following problem but I can't figure out how to solve it: {{{ 2sqrt(x+11)=sqrt(x+2)+sqrt(3x-6) }}} I first tried to square both sides: {

Question 856704: Hello,
I know the answer is 14 to the following problem but I can't figure out how to solve it:

I first tried to square both sides:

simplify:
--->
--->

Now what??? square both sides again?
Thanks.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You are correct. You would square both sides to eliminate the square root. Here is one way to do it.

Look at Rule 1 under the "distributing" section from this page

Square both sides

or

or

So the possible solutions are or

I'll leave the check to you to do. You need to plug each possible answer into the original equation and simplify. If you get a true statement, then the possible solution is a real solution. If not, then it's not a real solution.

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