If a, b, c, are nonzero, unequal rationa...

If a, b, c, are nonzero, unequal rational numbers, then prove that the roots of the equation `(abc)^(2) x^(2) + 3x^(2) cx + b^(2) cx - 6a^(2) - ab + 2b^(2) = 0` are rational .

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