SOLUTION: Please help me solve this radical equation. Thank you. {{{ (x-4)^(3/2) =-6 }}}

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Question 296388: Please help me solve this radical equation. Thank you.
+%28x-4%29%5E%283%2F2%29+=-6+
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x-4%29%5E%283%2F2%29+=+-6+
This is the same as:
%28%28x-4%29%5E%281%2F2%29%29%5E3+=+-6
Take the cube root of both sides
%28x-4%29%5E%281%2F2%29+=+%28-6%29%5E%281%2F3%29
square both sides
x+-+4+=+%28-6%29%5E%282%2F3%29
x+=+%28-6%29%5E%282%2F3%29+%2B+4
x+=+-3.302+%2B+4
x+=+.698 answer
check:
+%28x-4%29%5E%283%2F2%29+=+-6+
+%28.698+-+4%29%5E%283%2F2%29+=+-6+
+%28-3.302%29%5E%283%2F2%29+=+-6
+-6.0002+=+-6
close enough