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OpenStudy (anonymous):
solve 2a/a+12=2/a-8
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OpenStudy (dls):
Cross multiplication to the rescue.
OpenStudy (anonymous):
2a/a+12.2/a-8
OpenStudy (dls):
??
OpenStudy (anonymous):
how to cross multiply
OpenStudy (dls):
\[\LARGE \frac{2a}{a+12}=\frac{2}{a-8}\]
\[\LARGE 2a(a-8)=2(a+12)\]
solve now
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OpenStudy (anonymous):
2a^2-8=2a+12
OpenStudy (dls):
wrong.
OpenStudy (dls):
\[\Huge 2a^2-16a=2a+24\]
OpenStudy (anonymous):
Okay...I guess I should collect the like terms now
OpenStudy (dls):
yo
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OpenStudy (anonymous):
2a^2-16a+2a+24
OpenStudy (dls):
man you have messed up everything
OpenStudy (dls):
\[\Huge 2a^2-16a-2a-24=0\]
OpenStudy (dls):
\[\Huge 2a^2-18a-24=0\]
\[\Huge 2(a^2-9a-12)=0\]
OpenStudy (dls):
Divide by 2 on both the sides to get \[\LARGE a^2-9a-24=0\]
can you factor out atleast?
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OpenStudy (anonymous):
can figure out two number that can give a product of -24 and sum of -9
OpenStudy (anonymous):
(a- )(a+ )
OpenStudy (dls):
If not,then use the standard formula.
\[\LARGE a= \frac{-(-9) \pm \sqrt {81-4(1)(-24)}}{2(1)}\]
OpenStudy (dls):
you know this formula right?
OpenStudy (anonymous):
yes
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OpenStudy (dls):
so try solving now
OpenStudy (anonymous):
Quadratic formula
OpenStudy (anonymous):
\[9\pm \sqrt{177}/2\]
OpenStudy (dls):
yep.
OpenStudy (anonymous):
11.15, -2.15
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OpenStudy (dls):
looks great.
OpenStudy (anonymous):
Okay
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