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If a x^2+b x+c=0 and b x^2+c x+a=0 have ...

If `a x^2+b x+c=0 and b x^2+c x+a=0` have a common root and a, b, and c are nonzero real numbers, then find the value of `(a^3+b^3+c^3)//a b c`

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