Let $a$, $b$, and $c$ be the $3$ roots of $x^3-x+1=0$.  Find $\frac{1}{a+1}+\frac{1}{b+1}+\frac{1}{c+1}$.
Question:
Let $a$, $b$, and $c$ be the $3$ roots of $x^3-x+1=0$.  Find $\frac{1}{a+1}+\frac{1}{b+1}+\frac{1}{c+1}$.
Answer:
Let's think step by step.

user
-2
Let $a$, $b$, and $c$ be the $3$ roots of $x^3-x+1=0$.  Find $\frac{1}{a+1}+\frac{1}{b+1}+\frac{1}{c+1}$.
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