2007 paul dawkins 103

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Unformatted text preview: previous section we have only looked at equations with integer coefficients. However, this doesn’t have to be the case. We could have coefficient that are fractions or decimals. So, let’s work a couple of examples so we can say that we’ve seen something like that as well. Example 4 Solve each of the following equations. 1 1 = 0 [Solution] (a) x 2 + x 2 10 (b) 0.04 x 2 - 0.23 x + 0.09 = 0 [Solution] Solution (a) There are two ways to work this one. We can either leave the fractions in or multiply by the LCD (10 in this case) and solve that equation. Either way will give the same answer. We will only do the fractional case here since that is the point of this problem. You should try the other way to verify that you get the same solution. In this case here are the values for the quadratic formula as well as the quadratic formula work for this equation. a= -1 ± 1 2 (1) b =1 c=- 1 10 æ 1 öæ 1 ö - 4 ç ÷ç - ÷ -1 ± 1 + 1 è 2 øè 10 ø 5 = -1 ± 6 = 1 5 æ1ö 2ç ÷ è2ø 2 x= In these cases we usually go the extra step o...
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