Harini,
If you make the change of variables y = X^{1/9} then the equation becomes
y^{3}  y = 60 or y^{3}  y  60 = 0
Try some integer values for y to see if you can find a solution, say y = a. If so then
X = a^{9} is a solution to the original problem. Also, by the Factor Theorem, if y = a is a solution to y^{3}  y  60 = 0 then (ya) is a factor of y^{3}  y  60 so by long division you should be able to find a quadratoc g(y) so that y^{3}  y  60 = (y  a) g(y).
Penny
