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If alpha, beta are roots of the equation...

If `alpha, beta` are roots of the equation `x^(2)-x-3=0 and 9x^(2)-px -q = 0(p, q in R)` is the equation whose roots are `alpha^(-1) +alpha^(-2), beta^(-1) + beta^(-2)`, then find the values of p and q.

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The correct Answer is:
`alpha^(-1) + alpha^(-2) and beta^(-1) + beta^(-2)`
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