Solving Quadratic Equationsby Completingthe Square - Example 1
The Discriminant - Example 1
Adding Subtracting And Multiplying Complex Numbers - Example 2
Complexand Imaginary Numbers - Example 2
Dividing Complex Numbers - Example 2
Liberty University
Solve Quadratic Equationsby Graphing - Example 1


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Asian biographic. Now here we have a quadratic equation that says X squared plus X equals two. In order to graph this and to solve it, it has to equal zero. Well, all we're going to do it. So we're going to subtract two from both sides, because by doing so, I'm gonna bring my two over, and that's gonna leave. My quadratic equation equals zero. So now we're ready to graft this one. Let's go ahead and start and find a couple of things to help us find a couple points. Well, I can see since my constant is negative two. That's going to tell me that that my Y intercept is going to be negative to, Which means that my first point can be zero negative, too. I also know this is a positive equation. That means that this is going to be one that's going upward. So I might want to think about that as I'm doing a few points. So let's start with some points. Let's start with our first point. Let's just kind of go say around zero. First of all, I kind of see where we're going, and if it looks like it's gonna be Our number is gonna be to kind of crazy. We can kind of pull back. So let's just start with one and negative one. We'll do those numbers first. So that means for the first one, I'm gonna have one squared plus one minus two. So that would be one plus one minus two. And that would give me zero. Well, that's a pretty good number, tohave so let's keep that one and zero. Next, let's do negative one. So it's gonna be negative. One squared, plus negative one minus two. So I'd be one minus one. Minus two is gonna give me negative too. So for that, one would have negative, too. So negative one negative, too. So that tells me we're not quite going back in that upward direction yet. So let's see. Let's try. Let's just kind of go from there. And let's do positive to a negative, too. So let's do two squared plus two minus two. That's gonna be four plus two minus two, which would be four. So positive, too, would give me four so we can see where how is going up. So now let's so I can kind of tell based on this pattern that my my paralysis is gonna start going. It's going back up here, but we need to kind of decide at what point is going up. So let's come on in and let's try. Let's do negative too. So that'll be four minus two plus two. Sorry. Minus minus two. This is supposed to be a minus two, so that's gonna be four. So that would actually be zero. So right there. So if I did negative three, I would have 30.4. So that's how my parabola is moving. So I can see right here that I have a point solution here and a solution here. Here, X is negative two here, X is one. So my solution is negative to positive one.

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