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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.
= 0 [Solution]
(a) x 2 + x 2
(b) 0.04 x 2 - 0.23 x + 0.09 = 0 [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
è2ø 2 x= In these cases we usually go the extra step o...
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- Spring '12