Wikipedia:Reference desk/Archives/Mathematics/2016 July 25

= July 25 =

Roots of Polynomial-like Function
How should I find the roots of a function of the form $$f:\R\to\R$$, $$f(x)=\sum_{i=1}^{n}{a_i\cdot x^{\frac{1}{i}}}$$? (where $$\{a_i\}$$ are constant coefficients)31.154.81.45 (talk) 10:33, 25 July 2016 (UTC)
 * It is a polynomial already only very slightly disguised. Take the least common multiple of all the i values where $$a_i$$ is non-zero, call that L and substitute $$y = x^{\frac 1 L}$$ into what you have to give a polynomial in y. Dmcq (talk) 10:44, 25 July 2016 (UTC)
 * It's a great idea! Thank you! 31.154.81.45 (talk) 11:38, 25 July 2016 (UTC)