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Minimum Hui

Algebra Level 4

As \(x, y, z\) ranges over all possible real numbers, what is the minimum value of

\[ 3x^2+12y^2+27z^2-4xy-12yz-6xz-8y-24z+100 ? \]

This problem is proposed by Hui.

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Excel in math and science

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by Calvin Lin

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