# SOLUTION: How do you find x^2 if x satisfies (x+9)^(1/3)-(x-9)^(1/3)=3

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 Click here to see ALL problems on Square-cubic-other-roots Question 212297: How do you find x^2 if x satisfies (x+9)^(1/3)-(x-9)^(1/3)=3Answer by Edwin McCravy(8907)   (Show Source): You can put this solution on YOUR website!How do you find if x satisfies 1. ``` Let and 2. Cube both sides: Group the first and last terms on the left together 3. Notice that Substitute for Subtract 18 from both sides: Divide through by Factor out on the left Using equation 2 above, the parenthetical expression equals 3 Divide both sides by 3 Cube both sides: Substitute and , Add to both sides: That's what you wanted. Edwin```