![]() ![]() I just made a little chart so you'll know the resources you have available, and the pros and cons of each one.I did some refresher exercises in khan academy. I'm not actually going to solve any for you. So those are the four different ways, the pros and cons, and some things to think about when you're solving a problem. So you have to remember the formula, and it can get ugly. It's typically not as easy as some of these other methods, completing the square, I would say, is a little bit easier than that but it's something you have to remember. If you're using square roots, which some people don't always like, you always have to use square roots as well. ![]() It's great, again, because you can always use it. It's not always going to be the nicest situation. If you're dealing with a coefficient or an odd middle term or something like that you're going to introduce fractions. But the downfall is that it can get ugly. There will never be a time you won't be able to complete the square. The great thing about completing the square is we can always do it. It actually isn't the case very often at all.Ĭompleting the square. It's great when applicable, but it's not always the case. Any time you have an X term or something like that we're not going to be able to use it. The only problem is that it's not always the situation we're dealing with. So, the pro: is it's great when you're solving for something squared. The next one we're going to talk about is the square root property. So fast and easy, but not always applicable. So it's fast and easy when it's usable, but not always factorable, either. Oftentimes, we're dealing with a quadratic that is not factorable, so then factoring is not going to help us. Factoring is typically the fastest and easiest way of solving something when it's factorable. The 'check' means pros and the 'minus' means cons. So I'm just going to go down the row and talk about each one. We can use these methods at different times, and what I want to do is just talk about when we can use them, why they're good, and why they're bad. ![]() We have factoring, square root property, completing the square, and the quadratic formula. So we have four different ways at our convenience. What I mean by that is anything of the form: ax² plus bx plus c. ![]() So what I want to talk about now is an overview of all the different ways of solving a quadratic equation. ![]()
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