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OpenStudy (zzr0ck3r):
use more parenthesis
\(\frac{a}{2}=\frac{a-6}{3a-9}-\frac{1}{3}\\?\)
OpenStudy (anonymous):
your supposed to get two answers which is 1 and 2
OpenStudy (zzr0ck3r):
do I have it correct?
OpenStudy (anonymous):
yeah you do
OpenStudy (zzr0ck3r):
it is very hard to see what you are asking without the parentheses.
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OpenStudy (zzr0ck3r):
ok
OpenStudy (anonymous):
i need help
OpenStudy (zzr0ck3r):
\(\frac{a}{2}=\frac{a-6}{3a-9}-\frac{1}{3}=\frac{a}{2}=\frac{a-6}{3(a-3)}-\frac{1}{3}\)
so our \(LCM=2*3*(a-3)\) so multiply everything by our \(LCM\) and we get
\(2*3*(a-3)\frac{a}{2}=2*3*(a-3)\frac{a-6}{3(a-3)}-2*3*(a-3)\frac{1}{3}=\\\cancel{2}*3*(a-3)\frac{a}{\cancel{2}}=2*\cancel{3*(a-3)}\frac{a-6}{\cancel{3(a-3)}}-2*\cancel{3}*(a-3)\frac{1}{\cancel{3}}=\\3(a-3)a=2(a-6)-2(a-3)\).
you with me?
OpenStudy (anonymous):
yeah
OpenStudy (zzr0ck3r):
ok \(3(a-3)a=2(a-6)-2(a-3)\iff3a^2-9a=2a-12-2a+6 \iff \\3a^2-9a=-6\iff3a^2-9a+6=0\)
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OpenStudy (zzr0ck3r):
can you solve that?
OpenStudy (anonymous):
im not sure I followed that right
OpenStudy (anonymous):
could you start from the beginning
OpenStudy (anonymous):
to say im confused on the way u set up the problem