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Mathematics 17 Online
OpenStudy (anonymous):

solve 2a/a+12=2/a-8

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

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

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?

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

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

OpenStudy (dls):

looks great.

OpenStudy (anonymous):

Okay

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