Manipulating the Roots of a Cubic
Number Theory
Level
4
Let \(a\), \(b\), and \(c\) be the roots of the polynomial \(x^3+x-1\). Find
\[\dfrac{1+a}{1-a}+\dfrac{1+b}{1-b}+\dfrac{1+c}{1-c}\]
by
Finn Hulse