SOLUTION: Whats the solution for (-x|x|)1/2.(1/2 is square root power) I answered x but the solution says -x

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Question 87534: Whats the solution for (-x|x|)1/2.(1/2 is square root power)
I answered x but the solution says -x

Answer by albert(7) About Me  (Show Source):
You can put this solution on YOUR website!
Ok.


Remember:
abs%28x%29 is:
x if x%3E=0
and
-x if x%3C0


so
sqrt%28-x%2Aabs%28x%29%29
sqrt%28-x%2Ax%29 if x%3E=0 --> sqrt%28-x%5E2%29 *dont exist in the real numbers
sqrt%28-x%2Ahighlight%28%28-x%29%29%29 if x%3C0 --> sqrt%28x%5E2%29+=+x


The solution is -x and the Domain is x%3C0. Make the graph.


Cheers.