olymmath

KöMaL 2013 C1161

    The real numbers aa, bb, cc in the equation x−b−ca+x−a−cb+x−a−bc=10\frac{x-b-c}{a} +\frac{x-a-c}{b} +\frac{x-a-b}{c}=10 satisfy aa+bb+cc=0, abc =-48, and bcbc+acac+abab=-28. Solve the equation.

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