Let α, β be the roots of the equation x^2-x+ p =0 and γ, δ be the roots the equation x^2-4 x+ q =0; p, q ∈ Z. If α, β, γ, δ are in G.P., then | p + q…

Let $\displaystyle \alpha, \beta$ be the roots of the equation $\displaystyle x^2-x+\mathrm{p}=0$ and $\displaystyle \gamma, \delta$ be the roots the equation $\displaystyle x^2-4 x+\mathrm{q}=0$; $\displaystyle \mathrm{p}, \mathrm{q} \in \mathbf{Z}$. If $\displaystyle \alpha, \beta, \gamma, \delta$ are in G.P., then $\displaystyle |\mathrm{p}+\mathrm{q}|$ equals :