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Unformatted text preview: is a fairly long process and it’s easy to make
mistakes. So, we rarely actually use it to solve equations. That doesn’t mean that it isn’t
important to know the process however. We will be using it in several sections in later chapters
and is often used in other classes.
This is the final method for solving quadratic equations and will always work. Not only that, but
if you can remember the formula it’s a fairly simple process as well.
We can derive the quadratic formula be completing the square on the general quadratic formula in
standard form. Let’s do that and we’ll take it kind of slow to make sure all the steps are clear.
First, we MUST have the quadratic equation in standard form as already noted. Next, we need to
divide both sides by a to get a coefficient of one on the x2 term. ax 2 + bx + c = 0
x2 + x + = 0
Next, move the constant to the right side of the equation. x2 + © 2007 Paul Dawkins 96 b
http://tutorial.math.lamar.edu/terms.aspx College Algebra Now, we need to compute the number we’ll need t...
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- Spring '12