1985 OIM Problems/Problem 3
Problem
Find the roots 
, 
, 
, and 
of the equation:
![\[4x^4-ax^3+bx^2-cs+5=0\]](http://latex.artofproblemsolving.com/1/4/b/14b39122ebaa1ff2cdaa7038e6f436bc8fa02025.png)
knowing that they're all real, positives and that:
$$ (Error compiling LaTeX. Unknown error_msg)frac{r_1}{2}+frac{r_2}{4}+frac{r_3}{5}+frac{r_4}{8}=1
Solution
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