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\[P(x)=(x^2+5000x-1)^2+(2x+5000)^2\]
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Let \(P(x)\) be a polynomial, then find the sum of all the real solutions to the equation \[P(x)=\text{min}(P(x)).\]

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If \(x, y, z \in\mathbb{R}\)

\[x^2+11z=-40.25\] \[y^2-9x=-28.25\] \[z^2+7y=5.75\]

Then the value of \[|x|+|y|+|z|\] is

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