00:01
We're being asked to find a quadratic equation whose solutions are 5 and 3 4s.
00:06
Well, if 5 and 3 4ths are our solutions, that means when we solved, we would have gotten x is equal to 5 or x is equal to 3 4s.
00:15
So what i'm going to do is set both these equations equal to 0.
00:19
So for the first equation, i'm going to subtract 5 from both sides.
00:23
So i'm going to have x minus 5 is equal to 0.
00:25
Now for the second equation, i don't like having the fraction there.
00:28
So i'm going to first multiply both sides of the equation by four.
00:32
So we'll get 4x is equal to 3.
00:34
And then i'm going to subtract 3 from both sides of our equation.
00:38
So we'll have 4x minus 3 is equal to 0...