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The quadratic equation, a (x -b)(x-c) + ...

The quadratic equation, `a (x -b)(x-c) + b (x-c)(x-a) + c (x-a) (x-b)=0`, : where `0 ltaltbltc` have a) exactly one root lying betwen a and b b) exactly one root lying between b and c C) exactly one root lying between a and c D) both roots lying between a and c

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