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Minimum of Expression with x, y, and z

Source:

March 15, 2010
functioncalculusderivative

Problem Statement

Find the minimum value of 2x^2\plus{}2y^2\plus{}5z^2\minus{}2xy\minus{}4yz\minus{}4x\minus{}2z\plus{}15 for real numbers x x, y y, z z.
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