Real xyz Symmetric System

2175ExpertSystems Of EquationsAlgebra

Harvard-MIT Mathematics Tournament

If $x$, $y$, and $z$ are real numbers such that $2x^{2} + y^{2} + z^{2} = 2x - 4y + 2xz - 5$, find the maximum possible value of $x - y + z$.

0 students attempted0% solvedRating 2175

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2175ExpertSystems Of EquationsAlgebra

Harvard-MIT Mathematics Tournament

If $x$, $y$, and $z$ are real numbers such that $2x^{2} + y^{2} + z^{2} = 2x - 4y + 2xz - 5$, find the maximum possible value of $x - y + z$.

0 students attempted0% solvedRating 2175