00:01
Before i go to the graph, this, i think what i would do is see where the two curves intersect each other.
00:08
So i'm going to set them equal to each other, 6x minus x squared.
00:13
And the whole thought process is this.
00:15
When i get to the graph, i know that this will be an upwards parabola and this will be a downwards parabola.
00:23
So as i go to solve this, i would add x squared to the left side to get 2x squared.
00:29
And then i also have to add 2x so the right side to get 8x.
00:33
And from here i would subtract over and also factor out a 2x.
00:40
So by factoring out a 2x, x minus 4, i can see already that these curves are going to cross at x equals 0 and x equals 4.
00:51
Yeah, so what else do i know? so let me go to the graph, is since i know that they intersect at 0 and 4, and i don't know i don't think this is really cheating i also know that x squared minus 2x that if i fact fact factored out there it's two x intercept would be at zero and two you know so the curve looks something like this whereas this other one that's a downwards parabola still has an x intercept at zero but it goes up higher because the other x intercept would be at six you know somewhere over here this is a very poorly drawn graph but what i care about is from 0 to 4, and this is the region i'm talking about...
