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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
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
1. Two real distinct solutions. We will get this solution set if b 2 - 4ac > 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.
- Spring '12