00:01
We are given the equation of a circular is x plus 4 squared plus y squared is equal to 81, and we are required to find the center and the radius, as well as the domain and range.
00:15
Now, this is quite an interesting problem.
00:19
The first step is to try and factorize if it is possible.
00:27
So i will just try and factorize it in a simplified way.
00:32
The first part, it's definitely x plus 4 squared plus.
00:45
Now i want it also to be a quadratic.
00:49
So i'm going to say why, whether i say plus or minus zero.
00:56
It's the same thing because it will not change anything.
01:01
And then on the other side, on the right end side, 8 .1, square root of 8 .1 is 9.
01:09
So it will be 9 squared.
01:12
Now once you put it like that, it is now easy to pick up the sender.
01:19
So the sender is the coordinates that makes both brackets equal to 0.
01:27
So in the first bracket, x should be equal to negative 4...