SOLUTION: How to solve: {{{ sqrt(sqrt(x+3)+x)=3 }}} I broke it down to: {{{ -(x-13)(x-6) }}} x = 13,6 Please show how I can test those points in the first equation I don't under

Algebra ->  Equations -> SOLUTION: How to solve: {{{ sqrt(sqrt(x+3)+x)=3 }}} I broke it down to: {{{ -(x-13)(x-6) }}} x = 13,6 Please show how I can test those points in the first equation I don't under      Log On


   

Question 905873: How to solve:
+sqrt%28sqrt%28x%2B3%29%2Bx%29=3+
I broke it down to:
+-%28x-13%29%28x-6%29+
x = 13,6
Please show how I can test those points in the first equation I don't understand.
Thanks
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How to solve:
+sqrt%28sqrt%28x%2B3%29%2Bx%29=3+
Square both sides
sqrt%28x%2B3%29+%2B+x+=+9
sqrt%28x%2B3%29+=+9+-+x
Square again
x%2B3+=+x%5E2+-+18x+%2B+81
x%5E2+-+19x+%2B+78+=+0
(x-6)*(x-13) = 0
x = 6
x = 13
----------------
Test by subbing for x
+sqrt%28sqrt%286%2B3%29%2B6%29=3+
----
Same with 13