Alg_Complete

# There is one exception to this that well see here

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Unformatted text preview: the quadratic without the minus sign. © 2007 Paul Dawkins 110 http://tutorial.math.lamar.edu/terms.aspx College Algebra Equations Reducible to Quadratic Form In this section we are going to look at equations that are called quadratic in form or reducible to quadratic in form. What this means is that we will be looking at equations that if we look at them in the correct light we can make them look like quadratic equations. At that point we can use the techniques we developed for quadratic equations to help us with the solution of the actual equation. It is usually best with these to show the process with an example so let’s do that. Example 1 Solve x 4 - 7 x 2 + 12 = 0 Solution Now, let’ start off here by noticing that x4 = ( x2 ) 2 In other words, we can notice here that the variable portion of the first term (i.e. ignore the coefficient) is nothing more than the variable portion of the second term squared. Note as well that all we really needed to notice here is that the exponent on the first term was twice the exponent on the first term. This, along with the fa...
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