00:01
Hello, so here we have the equation, y squared plus 22y minus 4 is equal to zero.
00:06
So first, we want to get our constant on by itself on one side of the equation.
00:11
We're going to move over the four and add four to both sides of our equation.
00:16
That's going to give us a y squared plus 22 y is then equal to four.
00:22
And then we want to complete the square.
00:24
So we want to take half of the coefficient on our linear terms.
00:28
So that's half of 22, which is 11, and then we square that.
00:32
So 11 squared is 121.
00:35
So the value we're going to add here is going to be 121.
00:38
So we then have a y squared plus 22y is then going to be equal to 100, well, plus 100 we're adding here, the value of b.
00:49
So that's half of 22 squared.
00:53
So 11 squared is going to be 121.
00:57
So again, we are adding here a 121.
01:03
But then we have to make sure we do the same thing to the other side of the equation.
01:07
So we add 121 to the right side as well.
01:10
So we keep our equation equal.
01:12
But then the left side here, we just created a perfect square.
01:16
Y squared plus 22y plus 121...
