00:04
In this question, we're given two equations that we're trying to graph so we can solve the system.
00:13
The first equation here in blue, x squared plus y squared equal 64, that's the equation of a circle with the center at the point 0 ,0, and a radius of the square root of 64 or 8.
00:30
So if i were to graph that, the center of my circle is going to be right at the origin.
00:35
And we have a radius of eight.
00:39
So we're going to go out one, two, three, four, five, six, seven, eight in every direction.
00:46
One, two, three, four, five, six, seven, eight, two, three, four, five, six, seven, eight.
00:54
And one, two, three, four, five, six, seven, eight.
00:57
So i'm doing a rough sketch here on my, paper to show you what it looks like.
01:08
So it looks something like this for the blue circle, where this point up here is 08, this one is 8, this one's 0 negative 8, and this one's negative 8.
01:31
Now for the orange one, it's also the equation of a circle, but it's not written in the standard form so we can't see the center and the radius right away.
01:40
So what i'm going to do is i'm going to to separate my x variables a little bit and then complete the square on them.
01:49
So in order to complete the square, i'm going to add negative 8, the value of b, divided by 2 times a, which is just 2 times 1, quantity squared...