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Unformatted text preview: in order to cancel anything from the numerator
or denominator then it must be multiplied by the whole numerator or denominator. Since the 2 in
the numerator isn’t multiplied by the whole denominator it can’t be canceled.
In order to do any simplification here we will first need to reduce the square root. At that point
we can do some canceling. x= 2 ± (16 ) 2
2 = ( ) 2 ± 4 2 2 1 ± 2 2
=
= 1 ± 2 2
2
2 That’s a much nicer answer to deal with and so we will almost always do this kind of
simplification when it can be done.
[Return to Problems] (b) 3q 2 + 11 = 5q
Now, in this case don’t get excited about the fact that the variable isn’t an x. Everything works
the same regardless of the letter used for the variable. So, let’s first get the equation into standard
form. 3q 2 + 11  5q = 0
Now, this isn’t quite in the typical standard form. However, we need to make a point here so that
we don’t make a very common mistake that many student make when first learning the quadratic
formula.
Many students will just get eve...
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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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