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lf a^2x^2 + bx + c =0 has roots alpha a...

lf `a^2x^2 + bx + c =0` has roots `alpha and beta(alpha lt beta) and -p^2x^2 + qx + r = 0` has roots `alpha+ 5 and beta-5` then `(a^2+ p^2)x^2 + (b-q)x + (c-r) = 0` has a root in interval (given `alpha+5 lt beta -5`)

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