olymmath

KöMaL 2026 B5538

    Solve the following equation on the set of real numbers: 1x2−5x+9+1y2−5y+9+1z2−5z+9=16x−9+16y−9+16z−9\frac{1}{x^2-5x+9}+\frac{1}{y^2-5y+9}+\frac{1}{z^2-5z+9}=\frac{1}{\sqrt{6x-9}}+\frac{1}{\sqrt{6y-9}}+\frac{1}{\sqrt{6z-9}}.

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