# Bored with Vieta's formulae?

Algebra Level 4

If $$\alpha,\beta$$ are the roots of the equation $$x^{2}-p(x+1)-c =0$$ (where $$p,c$$ are real numbers ,not equal to zero) then $$\large \frac{\alpha^{2}+2\alpha+1}{\alpha^{2}+2\alpha+c} +\frac{\beta^{2}+2\beta+1}{\beta^{2}+2\beta+c}$$ is equal to:

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