Answer:
(x-3)² + (y-(-2))² + (z-1)² = 5²
that is the equation for a sphere with radius 5 and center in (3,-2,1)
Step-by-step explanation:
from the equation
x²+y²+z²-6x+4y-2z=11
x²+y²+z²-6x+4y-2z -11+(9-9+4-4+1-1) = 0
(x²-6x+9) + (y²+4y+4)+ (z²-2z+1) +(-11-9-4-1) =0
(x-3)² + (y+2)² + (z-1)² - 25 =0
(x-3)² + (y+2)² + (z-1)² = 25
(x-3)² + (y-(-2))² + (z-1)² = 5²
that is the equation for a sphere with radius 5 and center in (3,-2,1)
