Let λ ≠ 0 be in R. If α and β are the roots of the equation x^2-x+2 λ=0, and α and γ are the roots of the equation 3 x^2-10 x+27 λ=0, then (β γ)/(λ)…

Let $\displaystyle \lambda \neq 0$ be in $\displaystyle \mathbf{R}$. If $\displaystyle \alpha$ and $\displaystyle \beta$ are the roots of the equation $\displaystyle x^2-x+2 \lambda=0$, and $\displaystyle \alpha$ and $\displaystyle \gamma$ are the roots of the equation $\displaystyle 3 x^2-10 x+27 \lambda=0$, then $\displaystyle \frac{\beta \gamma}{\lambda}$ is equal to \_\_\_\_.