Equation To Inequality

Algebra Level 5

\[\large (x^2-y^2+1)^2+4x^2y^2-x^2-y^2=0\]

If \(x\) and \(y\) are real numbers that satisfy the equation above, find the closed form of the sum of the maximum and the minimum value of \(P=x^2+y^2\).

Submit your answer to 2 decimal places

This problem is part of the set: Max and min.

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