# Need solutions

Algebra Level pending

Suppose the quadratic polynomial $$P(x)=ax^{2}+bx+c$$ has positive coefficients $$a,b,c$$ in arithmetic progression in that order. If $$P(x)=0$$ has integer roots $$\alpha$$ and $$\beta$$, then find $\large \alpha + \beta + \alpha\beta .$

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