Math miscellaneousHard

Question

Let x, y, z ∈ R such that 2x2 + y2 + 2z2 - 8x + 2y - 2xy +2xz - 16 z + 35 = 0, then determine x + y + z :

Options

A.0
B.-1
C.1
D.2

Solution

(x - y - 1)2 + (x + z - 3)2 + (z - 5)2 = 0

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