Answer:
(x-(-4))² + (y-3)² + (z-1)² = 3²
that is the equation for a sphere with radius 3 and center in (-4,3,1)
Step-by-step explanation:
from the equation
x²+y²+z²+8x-6y-2z+17=0
x²+y²+z²+8x-6y-2z+17+(16-16+9-9+1-1) =0
(x²+8x+16) + (y²-6y+9)+ (z²-2z+1) +(17-16-9-1) =0
(x+4)² + (y-3)² + (z-1)² - 9 =0
(x+4)² + (y-3)² + (z-1)² = 9
(x-(-4))² + (y-3)² + (z-1)² = 3²
that is the equation for a sphere with radius 3 and center in (-4,3,1)
