Mathematics
8 Online
OpenStudy (anonymous):
Someone please help me with this absolute value equation Please
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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
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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
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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
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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?
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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