If α,β are the roots of the equation [1 25][012−112]5[1−120]10[0 – InterviewSolution

1.	If α,β are the roots of the equation [1 25][012−112]5[1−120]10[012−112]5[x2−5x+20x+2]=[40] , then (1−α)(1−β)−50 is equal to ___
Answer» If $α, β$ are the roots of the equation $[125] {[\begin{matrix} 0 & \frac{1}{2} - 1 & \frac{1}{2} \end{matrix}]}^{5} {[\begin{matrix} 1 & - 1 2 & 0 \end{matrix}]}^{10} {[\begin{matrix} 0 & \frac{1}{2} - 1 & \frac{1}{2} \end{matrix}]}^{5} [\begin{matrix} x^{2} - 5 x + 20 x + 2 \end{matrix}] = [40]$ , then $(1 - α) (1 - β) - 50$ is equal to ___

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