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

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The polynomial equation $\beta m^5 + m^2 + 1 = 0$ does not factor easily due to the presence of the beta coefficient, which complicates the root-finding process. The discussion indicates that factoring is not a viable method for solving this polynomial. Ultimately, the user concluded that they no longer need to solve the equation, highlighting the challenges posed by the beta coefficient.

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Dustinsfl
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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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