00:01
Given the equation, 4x squared plus 9y squared minus 16x minus 36y plus 16 equals 0, we want to get this into a standard form.
00:14
Notice what we have, an x squared plus a y squared, and so it's not a parabola.
00:22
Let's group our xs together.
00:23
4x squared minus 16x, our group our ys together, 9y squared minus 36y.
00:29
We're going to move the 16 to the right -hand side of the equation, so it's a negative 16.
00:33
We could factor a 4 out, so we're left with x squared minus 4.
00:37
X leave room to complete the square.
00:39
Factor out of 9, y squared minus 4, y leave room to complete the square...