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OpenStudy (anonymous):
identify the restricted values
a+2
_______
2a-8
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OpenStudy (unklerhaukus):
what values for \(a\) would mean the fraction is undefined
OpenStudy (anonymous):
any values that make the denominator equal to zero
Parth (parthkohli):
There's a good trick. Equate the denominator to zero!\[\rm 2a - 8 = 0\]Solve that equation to get your restricted value(s).
OpenStudy (unklerhaukus):
right @love1904 , can you find suce an \(a\)?
use Parthy's trick
OpenStudy (anonymous):
yeah, I am trying
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OpenStudy (anonymous):
a=4
Parth (parthkohli):
Very good!
OpenStudy (unklerhaukus):
is there any other value for \(a\) that would make the fraction undetermined ?
OpenStudy (anonymous):
-2
OpenStudy (unklerhaukus):
lets see what would happen if \(a=-2\)
\[\frac{a+2}{2a-8}=\frac{-2+2}{2(-2)-8}=\frac{0}{-12}=\]
is this fraction defined?
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OpenStudy (anonymous):
no
Parth (parthkohli):
@love1904 Only the denominator—not numerator.
OpenStudy (unklerhaukus):
when \(a=-2\)\[\frac{a+2}{2a-8}=\frac{0}{-12}=0\]
the fraction equals zero ( it is defined )
OpenStudy (anonymous):
Great!! Good Jobs Guys thanks.
OpenStudy (unklerhaukus):
so there is only one restricted value for a
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OpenStudy (anonymous):
another one is coming
OpenStudy (anonymous):
Simplify 2t-12
__________________
6-t
OpenStudy (unklerhaukus):
factorise the numerator and then cancel
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