# An algebra problem by Rajdeep Ghosh

Algebra Level 3

Suppose that $$a, b, c$$ are non-zero complex numbers that satisfy

$a^2 = b + c \\ b^2 = c + a \\ c^2 = a + b$

Find the value of $\frac{a}{a+1}+\frac{b}{b+1}+\frac{c}{c+1} .$

×