# Minimise this (if you can)!

Algebra Level 5

$3x^2+3y^2+3z^2+2xy+4xz+6yz+3x+2y+z+1$

Find the minimal value of the function $$f(x,y,z)$$ above, where $$x,y$$ and $$z$$ are real numbers. Round your answer to three significant figures.

If you come to the conclusion that no such minimum exists, enter 0.666

This is an Algebra problem; Calculus solutions are frowned upon.

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