SOLUTION: if X^2+Y^2+Z^2=2(5X-8Y+6Z)-125 THEN FIND THE VALUE OF X+Y+Z IS?

Question 1143017: if X^2+Y^2+Z^2=2(5X-8Y+6Z)-125 THEN FIND THE VALUE OF X+Y+Z IS?
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!






Complete the square in each parentheses by adding the 
square of half the coefficient of X, Y and Z respectively 
inside each parentheses on the left side of the equation, 
and adding the same quantities to the right side.



Factor each parenthetical expression as a perfect square
and combine the terms on the right:



That's the equation of a sphere with center (5,-8,6) and
radius 0.   So it is the equation of a sphere that is 
degenerated into the point (5,-8,6) in 3D space.

X = 5, Y = -8, Z = 6, So X+Y+Z = 5-8+6 = 3

Edwin

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