Let α,β be the roots of ax2+bx+c=0, a≠0. If 1,α+β,αβ are in A. – InterviewSolution

1.	Let α,β be the roots of ax2+bx+c=0, a≠0. If 1,α+β,αβ are in A.P. and 1α,12,1β are also in A.P., then the value of α2+β2−2α2β2α2+β2 is
Answer» Let $α, β$ be the roots of $a x^{2} + b x + c = 0, a \neq 0$ . If $1, α + β, α β$ are in A.P. and $\frac{1}{α}, \frac{1}{2}, \frac{1}{β}$ are also in A.P., then the value of $\frac{α^{2} + β^{2} - 2 α^{2} β^{2}}{α^{2} + β^{2}}$ is

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