Let α and β be the roots of x^2-3 x+ p =0 and γ and δ be the roots of x^2-6 x+ q =0. If α, β, γ, δ form a geometric progression. Then ratio (2 q + p…

Let $\displaystyle \alpha$ and $\displaystyle \beta$ be the roots of $\displaystyle x^2-3 x+\mathrm{p}=0$ and $\displaystyle \gamma$ and $\displaystyle \delta$ be the roots of $\displaystyle x^2-6 x+\mathrm{q}=0$. If $\displaystyle \alpha, \beta, \gamma, \delta$ form a geometric progression. Then ratio $\displaystyle (2 \mathrm{q}+\mathrm{p}):(2 \mathrm{q}-\mathrm{p})$ is :