00:01
We're being asked to find the quadratic equations whose two solutions are one -half and one -third.
00:06
Well, because these are our two solutions, that means if we would solve our equation, we would have ended with x is equal to one -half or x is equal to one -third.
00:15
So now what i'm going to do is set both of my equations equal to zero.
00:19
So let's start with the first equation.
00:21
Well, i see we have the fraction there.
00:23
So what i'm going to do is i'm going to multiply both sides of my equation by two.
00:26
So we're left with 2x is equal to 1.
00:28
And then i'm going to subtract 1 from both sides.
00:32
So we're left with 2x minus 1 is equal to 0.
00:36
Now let's go to the second equation.
00:38
So i'm first going to multiply both sides by 3.
00:41
So we're going to have 3x is equal to 1...