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Unformatted text preview: ting the square since b
is now a fraction for the first time. © 2007 Paul Dawkins 95 http://tutorial.math.lamar.edu/terms.aspx College Algebra 2 æ 2ö
ç  3 ÷ æ 2 1 ö2 æ 1 ö2 1
ç
÷ = ç × ÷ = ç ÷ =
ç 2 ÷ è 3 2ø è 3ø 9
è
ø
Now finish the problem. x2  2
111
x+ = +
3
939
2 1ö
4
æ
çx ÷ =
3ø 9
è
1
4
x =±
3
9 Þ 12
x= ±
33 In this case notice that we can actually do the arithmetic here to get two integer and/or fractional
solutions. We should always do this when there are only integers and/or fractions in our solution.
Here are the two solutions. 123
x = + = =1
333 and 12
1
x=  =33
3
[Return to Problems] A quick comment about the last equation that we solved in the previous example is in order.
Since we received integer and factions as solutions, we could have just factored this equation
from the start rather than used completing the square. In cases like this we could use either
method and we will get the same result.
Now, the reality is that completing the square...
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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
 MrVinh

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