SOLUTION: Solve this equation! (x-3)^3/2 = 8

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Solve this equation! (x-3)^3/2 = 8      Log On


   



Question 992361: Solve this equation!
(x-3)^3/2 = 8

Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
You want to say

Solve this equation,  please!".  Isn't ??

(x-3)^3/2 = 8.
------------------------------------------------------------

%28x-3%29%5E%283%2F2%29 = 8.

Square both sides.  You will get

%28x-3%29%5E3 = 64.

Now take the cubic root from both sides.  You will get

x - 3 = root%283%2C+64%29 = 4.

The solution is  x = 7.

Check it yourself,  please.