Higher Order Polynomial Function Solver

Question

I have a 5th order, uni-variable, polynomial :(

As I understand the only way to solve this is to guess?

Since this is a real world equation, rather than something from a textbook, there really isn't any chance of me finding clean roots by guessing.

Is there any solution for polynomials in higher math?

Answer 1

There’s no general quintic formula like there is for lower-degree polynomials, but there are lots of ways to approximate roots.

Answer 2

If you're looking for a solution (as opposed to a general method), Excel's Solver should work. The Non-Linear Solver will give at least one real root, and the Evolutionary Solver may give them all.