MHB What are the roots of this polynomial with a beta coefficient?

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$\beta m^5 + m^2 + 1 =0$

How do I find the roots?
 
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Could you factor? The beta is throwing me a tad, and I imagine that is some of the difficulty of this problem.
 
alane1994 said:
Could you factor? The beta is throwing me a tad, and I imagine that is some of the difficulty of this problem.

It isn't going to factor but I don't need to solve it anymore.
 

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