Likewise there is no reason to think that we can only

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Unformatted text preview: to start being very careful. It’s now time to start thinking about how to solve equations that contain absolute values. Let’s start off fairly simple and look at the following equation. p =4 Now, if we think of this from a geometric point of view this means that whatever p is it must have a distance of 4 from the origin. Well there are only two numbers that have a distance of 4 from the origin, namely 4 and -4. So, there are two solutions to this equation, p = -4 © 2007 Paul Dawkins or 141 p=4 College Algebra Now, if you think about it we can do this for any positive number, not just 4. So, this leads to the following general formula for equations involving absolute value. If p = b, b > 0 then p = -b or p = b Notice that this does require the b be a positive number. We will deal with what happens if b is zero or negative in a bit. Let’s take a look at some examples. Example 1 Solve each of the following. (a) 2 x - 5 = 9 [Solution] (b) 1 - 3t = 20 [Solution] (c) 5 y - 8 = 1 [Solution] Solution Now, remember that abs...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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