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Algebra Level 3

If x , y , z x,y,z are real and distinct, then u = x 2 + 4 y 2 + 9 z 2 6 y z 3 z x z x y u={ x }^{ 2 }+4{ y }^{ 2 }+9{ z }^{ 2 }-6yz-3zx-zxy is always ...

Note: This question has been flagged because the last term seems out of place.

None of these Zero Non-negative Non-positive

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