SOLUTION: solve for all values of x: 3+(x+3)^1/2=x please show all work.

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Question 952602: solve for all values of x: 3+(x+3)^1/2=x
please show all work.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+3%2B%28x%2B3%29%5E%281%2F2%29=x
+3%2Bsqrt%28x%2B3%29=x
+sqrt%28x%2B3%29=x-3..........square both sides
+%28sqrt%28x%2B3%29%29%5E2=%28x-3%29%5E2
+x%2B3=%28x-3%29%5E2
+x%2B3=x%5E2-6x%2B9
+0=x%5E2-6x-x%2B9-3
+%28x%5E2-x%29-%286x-6%29=0
+x%28x-1%29-6%28x-1%29=0
+%28x-6%29%28x-1%29=0
solutions:
if +x-6=0=>x=6
if +x-1=0=>x=1