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solve: (x+7)^(2/3)=9
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take (3/2) of both side
there's availability for 2 answers though
\[(x+7)=9^{\frac{3}{2}}\]
yes because you don't know whether the you have 27 or -27
x+7=9^(3/2) x+7=27 x=20
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so there are to possiblities
namely that \[x+7=27\] or \[x+7=-27\] first one gives \[x=20\] second one gives \[x=-34\]
left hand side of your equation says the cube root of x+7 squared. if x = -34 then x + 7 = -27. if you take the cube root you get -3.. square gives you 9. that is why you have two answers
hope that is clear
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