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Mathematics 8 Online
OpenStudy (anonymous):

Someone please help me with this absolute value equation Please

OpenStudy (anonymous):

wait @satellite73

OpenStudy (anonymous):

\[\huge \left| x ^{2}-3x-4 \right|=9-\left| x ^{2}-1 \right|\]

OpenStudy (anonymous):

wow!!

OpenStudy (anonymous):

just give me a hint i want to do the work

OpenStudy (anonymous):

i thought it was going to be an easy one i would work in cases

OpenStudy (anonymous):

i don't ask easy questions :P

OpenStudy (anonymous):

cases like how

OpenStudy (anonymous):

first off lets change the form a bit

OpenStudy (anonymous):

COol

OpenStudy (anonymous):

I think bringing the mod to L.H.S

OpenStudy (anonymous):

\[|x+1||x-4|+|x+1||x-1|=9\]

OpenStudy (anonymous):

yeah that and also factor

OpenStudy (anonymous):

uhhm yup!

OpenStudy (anonymous):

factor out the common factor of \(|x+1|\) then get rid of it

OpenStudy (anonymous):

after this

OpenStudy (anonymous):

okay wia t

OpenStudy (anonymous):

i am not getting u after factoring

OpenStudy (anonymous):

\[|x+1||x-4|+|x+1||x-1|=9\] \[|x+1|(|x-4|+|x-1|)=9\] oh no don't get rid of it, sorry it is an equation not an inequality

OpenStudy (anonymous):

yeah i did that part

OpenStudy (anonymous):

Then we take critical points?

OpenStudy (anonymous):

like -1 , 4 , 1

OpenStudy (anonymous):

what i said "work in cases" i mean for example if \(x>4\) then this is the same as \[(x+1)((x-4)+(x-1))=9\]

OpenStudy (anonymous):

yes exactly

OpenStudy (anonymous):

cool i will work it out , i will notify you when i am done just 3 minutes

OpenStudy (anonymous):

i have to run, but i am sure you will get it there are two answers only good luck

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