00:02
Hello, so the point of this problem is to convert the general equation of a circle into the center standard of it.
00:09
So we're given this equation and we're trying to convert it into the form that's shown below.
00:15
So in order to do that, we want to keep all our variables to the left and then move our constants to the right.
00:21
The most that we can do for now is try to complete the square with our variables and then whenever we get constants, we'll move them, or constants that fall out of the brackets will move them to the right.
00:29
So we have currently x squared plus 10x.
00:34
I'm also grouping them by the type of variable, so that's easier to complete the square, plus some value plus y squared minus 5y, plus some value will complete the square is equal to 32.
00:48
So in order to complete the square for this, i'll do 10 divided by 2 is 5, 25 is what we add on.
00:54
And then for this one, we do minus 5 divided by 2, whole squared is 25 over 4.
01:02
So taking this information we move down, we do x plus 5 whole squared plus y minus 5 over 2 whole squared...