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## Homework Statement

Find the number and position of real roots of x

^{4}+4x

^{3}-4x-13=0.

## Homework Equations

## The Attempt at a Solution

I found the number of real roots using the Descarte's rule of signs. One is positive and other is negative. Now about the position of roots, i don't have any idea. Substituting the values of x and checking if f(x)=0 won't be a good idea. Also i can't factorize the given expression. I can't think of any other way for finding the roots.

Is it possible to find the roots using calculus? If yes, please tell me, i would be happy to know about that.

Thanks!