00:01
For this problem, we are asked to find the center and radius of the sphere with the given equation.
00:06
So what we will want to do here is split this apart into x, y, and z components, and then complete the square for each one of those expressions.
00:14
So we'd have x squared minus 2x, which as a squared expression would mean that we're looking for x minus 1 squared, for y, or excuse me, x minus 1 squared, plus 1 squared.
00:30
So plus 1.
00:32
For y, or y squared, or excuse me, for y, it would be y squared plus 6y becomes y plus 6 or excuse me, y plus 3 squared plus 9.
00:49
Or excuse me, let me correct myself here.
00:52
Since for each one of these expressions, we are missing those extra parts that i was adding on there.
00:57
So it should be minus 1 and minus 9...