Find the center and radius of the sphere x2+2x+y2−4y+z2−8z=60

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07-09-2017
Mathematics

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Find the center and radius of the sphere x2+2x+y2−4y+z2−8z=60

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ghanami ghanami · Answer 1 · 2017-09-09T20:06:48+02:00

ghanami ghanami

09-09-2017

hello :
x²+2x+y²−4y+z²−8z=60
(x²+2x) + (y² - 4y) +(z² - 8z) = 60
(x²+2x+1) -1 +(y² - 4y +4 ) - 4 +( z² - 8z+16) -16 = 60
(x+1)² +(y-2)² +(z - 4)² = 9²
the center is the point : A(-1, 2 , 4)
and radius : 9

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