# An algebra problem by Abhay Kumar

Algebra Level 3

If $$x,y$$ and $$z$$ are non-zero real numbers such that $$x^2=y+z$$, $$y^2=x+z$$, $$z^2=x+y$$, then find the value of $$\dfrac{1}{x+1}+\dfrac{1}{y+1}+\dfrac{1}{z+1}$$.

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