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x^2 + px + q = 0 and x^2 + rx + s = 0 ha...

`x^2 + px + q = 0 and x^2 + rx + s = 0` has real roots. If equation `(a^2 + b^2)x^2 + 2(ac + bd)x + (c^2 + d^2) = 0,` has no real roots. Then prove that `ad != bc. 6500` were divided equally among a certain number of persons. Had there been 15 more persons,

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