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System of equations with at most one real solution

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November 2, 2010
parameterizationalgebrasystem of equationsalgebra unsolved

Problem Statement

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.
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