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ILL 1972 Problem 2

    Find all real values of the parameter aa for which the system of equations x4=yz−x2+a,x^4 = yz - x^2 + a, y4=zx−y2+a,y^4 = zx - y^2 + a, z4=xy−z2+a,z^4 = xy - z^2 + a, has at most one real solution.

    Dataset text AI-MO AoPS. Quoted with source.

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