`x+1/x=3, x ne 0`

Find the roots of the following equations : x-1/x=3,x ne0

Find the intervals in which the function f given by f(x) = x^3 + (1/x^3), x ne 0 is increasing.

Find the intervals in which the function f given by f(x) = x^3 + (1/x^3), x ne 0 is decreasing.

If f(x) +2f(1/x) =3x, x ne 0 and S={x in R//f (x) =f(-x)} , then S is:

Determine for which values of x, the following function are increasing or decreasing: f(x) = x^3 + 1/x^3 , x ne0

Find the intervals in which the function f given by f(x)=x^3+1/x^3 , x ne 0 is (i) increasing (ii) decreasing