Question

Calc III Problem:
Show that the equation represents a sphere and ...

Answer 1

Group the like terms together:
( x - 1)² + ( y -2)² + ( z + 4) ² = 6²

Answer 2

you mean split up the constant among the variables?

Answer 3

Do you understand complete square?

Answer 4

Not exactly, its been a while.

Answer 5

Like x² - 2x = ( x -1)² -1

Answer 6

Thats not right, ,(x-1)² -1 wouldn't equal x² - 2x

Answer 7

your removing an x

Answer 8

(x-1)² -1 = x² - 2x + 1 -1

Answer 9

Oh, I'm retarded, I didn't even remember that. My bad.

Answer 10

I understand, you already said "It's been a while"

Answer 11

( a - b )² = a² - 2ab + b²

Answer 12

Center I ( 1, 2, -4 )
r = 6

Answer 13

by what means did you get that?

Answer 14

Based on the square ( x -1)² = 0 => x = 1

Answer 15

Oh ok, so you took the square root, then simplified for x?

Answer 16

That's pretty much Zero product theorem!

Answer 17

Awesome! Thanks man!

Or woman....

Answer 18

It's just my lucky moment, I guess. All I apply is complete square!