Skip to main content

All Questions

Tagged with
Filter by
Sorted by
Tagged with
4 votes
1 answer
126 views

When does the maximal root of this polynomial have unit magnitude? Prove an inverse linear relation between parameters

Examine the polynomial $$ x^{\tau+1}-x^{\tau}+\alpha=0\, $$ and denote by $\left|x_{\max}\left(\tau,\alpha\right)\right|$ as the maximal magnitude of a root of this equation. For $\tau>1$, I ...
Daniel Soudry's user avatar