Alg_Complete

# 2007 paul dawkins 105

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Unformatted text preview: ins 104 http://tutorial.math.lamar.edu/terms.aspx College Algebra sets because we may need avoid one of the possible solutions so we don’t get division by zero errors. Now, it turns out that all we need to do is look at the quadratic equation (in standard form of course) to determine which of the three cases that we’ll get. To see how this works let’s start off by recalling the quadratic formula. x= -b ± b 2 - 4ac 2a The quantity b 2 - 4ac in the quadratic formula is called the discriminant. It is the value of the discriminant that will determine which solution set we will get. Let’s go through the cases one at a time. 1. Two real distinct solutions. We will get this solution set if b 2 - 4ac &gt; 0 . In this case we will be taking the square root of a positive number and so the square root will be a real number. Therefore the numerator in the quadratic formula will be –b plus or minus a real number. This means that the numerator will be two different real numbers. Dividing either one by 2a won’t change the fa...
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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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