Hi my name is Harini.
My level of question is secondary
I am a student


I need the answer for

The value of X in X^1/3-X^1/9=60.

Please send me the solution

Harini,

If you make the change of variables y = X^1/9 then the equation becomes

y³ - y = 60 or y³ - y - 60 = 0

Try some integer values for y to see if you can find a solution, say y = a. If so then
X = a⁹ is a solution to the original problem. Also, by the Factor Theorem, if y = a is a solution to y³ - y - 60 = 0 then (y-a) is a factor of y³ - y - 60 so by long division you should be able to find a quadratoc g(y) so that y³ - y - 60 = (y - a) g(y).

Penny