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Mathematics 14 Online
OpenStudy (anonymous):

@BSwan @rational @UnkleRhaukus

OpenStudy (anonymous):

\[\frac{ 3 }{ a-6 }-\frac{ 1 }{ a-2}=3\]

OpenStudy (anonymous):

what you tried so far ?

OpenStudy (anonymous):

nothing I just posted it

OpenStudy (anonymous):

\[-> 3a - 6 - a - 6/ a^2 - 2a -6a -12 = 3\] now do you get the idea

OpenStudy (anonymous):

2a - 12/ a^2 -8a - 12 = 3 ..now can you do it on yar own?

OpenStudy (anonymous):

is that the work im supposed to copy to get the answer?

OpenStudy (anonymous):

nah you are supposed to evaluate and answer it yourself..try it's easy

OpenStudy (anonymous):

im supposed to show work though

OpenStudy (anonymous):

\[2a - 12 = 3a^2 -24a - 36 => 26a -3a^2 = -36 -12=> 26a-3a^2 = -48\] now do you get the process now

OpenStudy (anonymous):

is that the answer

OpenStudy (anonymous):

wait... \[2a - 6 - a + 6 /a^2 -2a -6a + 12 = 3\] \[\frac{ a }{ a^2 - 8a + 12 } = 3 => a = 3a^2 -24a + 36 => 25a-3a^2 = 36 => \] ....are you sure that the EQN. is right nd there's no error like you previous exp. function question>>>confused.....

OpenStudy (anonymous):

no there is no mistake just plleeease tell me the answer

OpenStudy (anonymous):

\(\Huge \frac{ 3 }{ a-6 }-\frac{ 1 }{ a-2}=3 \) \(\large \frac{ 3(a-2) }{( a-6)(a-2) }-\frac{ (a-6) }{ (a-2)(a-6)}=\frac{3(a-2) (a-6) }{ (a-2)(a-6)} \) thus \(\large 3(a-2)-(a-6)=3(a-2)(a-6)\) \(\large 3a-6-a+6=3(a^2-8a+12)\) \(\Huge -3a^2+26a-36=0\) quadratic equation , solve for a

OpenStudy (anonymous):

uh..got it a has two solutions: \[a = 1/3 \times (13-\sqrt{6}))\] and \[a = \frac{ 1 }{ 3 }(13+\sqrt{61})\]

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