00:01
Okay, so then given the equation x squared plus y squared plus 6y minus 5 equals 0, we can write this in standard form by completing the square.
00:14
Notice how there is no x to the first power terms, so we are good enough to leave x by itself.
00:22
It's already in its most simple form, and we can complete the square on the y terms.
00:30
To keep all the variables on one side, i will rewrite this.
00:33
It's x squared plus y squared plus 6 y.
00:38
Let me write a space here so i can click the square and then equals 5.
00:45
So to complete the square we need to add a factor of b over 2 squared.
00:51
So in this case, 6 is b 6, so b over 2 squared is 6 squared or 9.
01:03
So then we want to add 9 to both sides...