Let $\lambda$ $\ne$ 0 be in R. If $\alpha$ and $\beta$ are the roots of the equation x2 $-$ x + 2$\lambda$ = 0, and $\alpha$ and $\gamma$ are the roots of equation 3x2 $-$ 10x + 27$\lambda$ = 0, then ${{\beta \gamma } \over \lambda }$ is equal to ____________.

Question

Let $\lambda$ $\ne$ 0 be in R. If $\alpha$ and $\beta$ are the roots of the equation x² $-$ x + 2$\lambda$ = 0, and $\alpha$ and $\gamma$ are the roots of equation 3x² $-$ 10x + 27$\lambda$ = 0, then ${{\beta \gamma } \over \lambda }$ is equal to ____________.

Correct Answer

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