Question

1.Discuss the graph of the equation x^2 +y^2 + z^2 -6x +8y+4z+4=0

Answer 1

$$x^2 +y^2 + z^2 -6x +8y+4z+4=0$$

$$(x-3)^2 +(y+4)^2+ (z+2)^2 =25$$

The graph of the equation is the sphere with the centre $(3, -4, -2)$ and radius $5.$