P If \( a, b, c \) are non-zero, unequal rational numbers then prov...

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If \( a, b, c \) are non-zero, unequal rational numbers then prove that the roots of the equation \( \left(a b c^{2}\right) x^{2}+ \)
W \( 3 a^{2} c x+b^{2} c x-6 a^{2}-a b+2 b^{2}=0 \) are rational.
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