1985 OIM Problems/Problem 3

Problem

Find the roots $r_1$ , $r_2$ , $r_3$ , and $r_4$ of the equation: $4x^4-ax^3+bx^2-cs+5=0$ knowing that they're all real, positives and that: $\frac{r_1}{2}+\frac{r_2}{4}+\frac{r_3}{5}+\frac{r_4}{8}=1$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Page

Toolbox

Search

1985 OIM Problems/Problem 3

Problem

Solution