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# Completing The Square

Learn how to eliminate the linear term and see through messy quadratics. You’ll know just how high to shoot your three-pointer to avoid tall defenders.

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

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

**Note**

You can find more such problems here

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