00:02
This time we want to find two consecutive numbers.
00:05
So let's say the first one was x.
00:07
The next one would be x plus one, those are consecutive.
00:10
And they want us to find two consecutive numbers such that their product is 306.
00:17
So let's see.
00:18
Let's expand left -hand side to try to solve for x.
00:21
We'll need to find what the quadratic is.
00:23
So we'll have x squared plus x is equal to 306.
00:29
Well, let's get the quadratic on one side of the equation.
00:33
So we can subtract 306 from both sides.
00:36
We'll have x squared plus x.
00:39
Then we can do minus 306 is equal to zero.
00:44
That could be the way we go.
00:47
Actually, let's make it a little quicker.
00:49
Let's do the completing the square method.
00:53
Because our coefficient for our x squared is already a one.
00:57
And our b looks like it's just half of that coefficient, so just one half.
01:02
When we square it and add it to both sides, we're just going to need to add one -fourth to both sides.
01:07
So over here we'll end up with x plus 1 half squared is equal to 3 over 6, or 306 times 4 is 1 224...