00:01
For this problem, we have been asked to identify two integers, given some information about them.
00:07
For this problem, we'll call these integers x and y.
00:10
Now, first, we're told that the product of the two integers is 32.
00:14
That means when i multiply them, x times y will equal 32.
00:20
We're also told that there's some, when we add them together, is 12.
00:26
Well, this is a nonlinear system of equations.
00:29
So, in order to solve this, let's use substitution.
00:33
I'm going to take our second equation and solve for x.
00:38
X equals 12 minus y.
00:40
And let's substitute that up into our first equation.
00:44
I have x, 12 minus y, times y equals 32.
00:50
If i get rid of the parentheses, that gives me 12y minus y squared equals 32.
00:56
And i'm going to move everything to the right hand side of the equation.
00:59
And set it equal to 0...