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

  • Thread starter Thread starter Dustinsfl
  • Start date Start date
  • Tags Tags
    Polynomial Roots
AI Thread Summary
The polynomial in question is $\beta m^5 + m^2 + 1 = 0$. Participants discuss the challenges of finding its roots, particularly due to the presence of the beta coefficient. It is noted that the polynomial is unlikely to factor, complicating the solution process. Ultimately, one contributor indicates they no longer need to solve the polynomial. The discussion highlights the complexities introduced by the beta coefficient in polynomial equations.
Dustinsfl
Messages
2,217
Reaction score
5
$\beta m^5 + m^2 + 1 =0$

How do I find the roots?
 
Mathematics news on Phys.org
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.
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top