anonymous
  • anonymous
can i get an example for a problem of solving an absolute value equation, please?
Mathematics
chestercat
  • chestercat
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Owlfred
  • Owlfred
Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!
anonymous
  • anonymous
the absolute value of x is 6. so x could be either 6 or -6
anonymous
  • anonymous
\[|x-3|=5\] \[x-3=5\] \[x-3=-5\] \[x-3=5 , x=8\] \[x-3=-5, x=-2\]

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anonymous
  • anonymous
there are two. do you have one you would like to do?
anonymous
  • anonymous
yeah, the |x-3| = 5 one.
anonymous
  • anonymous
the problem is, I don't quite remember how to do the process. Could one help.
anonymous
  • anonymous
just remember when you remove the absolute value signs you have to write two separate equations
anonymous
  • anonymous
this is clear yes? because if i know \[|x|=78\] then x could be 78 but it could also be -78
anonymous
  • anonymous
yeah, I just looked that up, and it made sense. Now what if there's two variables, like |x-3| = 5, would the answer be, "2 or -2" ?
anonymous
  • anonymous
oh no
anonymous
  • anonymous
what? why?
anonymous
  • anonymous
because if i know |x-3|=5 then what i know is that either x-3=5 or x-3=-5
anonymous
  • anonymous
the solution to the first one is x = 8, not x = 2. the solution to the second one IS x=-2
anonymous
  • anonymous
Ok. I kind of see what you did... Could you give me another one amongst those lines, so I can try it?
anonymous
  • anonymous
sure try |x+3|=7
anonymous
  • anonymous
The answer to the first one should be 4, and the second one, being (|x+3| = -7) would be -10?
anonymous
  • anonymous
yes . got it. write to equations, solve each individually
anonymous
  • anonymous
i meant write TWO equations
anonymous
  • anonymous
Yeah, for sure! (: It's just I'm a bit slow at first, but once I get it, I beast through all of them, lol. Btw, are there any equations like that, with THREE variables?
anonymous
  • anonymous
not usually. do you have one?
anonymous
  • anonymous
No, I just wanted to know so I could be prepared in case I get one of those.
anonymous
  • anonymous
you could have something like this: |x+2|=2x-5
anonymous
  • anonymous
and how would you solve that?
anonymous
  • anonymous
in which case you still have to write two equations but you have to be very very careful
anonymous
  • anonymous
you would write two equations. one would be: x+2=2x-5
anonymous
  • anonymous
the other would be: x+2=-(2x-5)
anonymous
  • anonymous
which of course means x+2=-2x+5
anonymous
  • anonymous
be careful when you take the negative to remember to put it in parentheses
anonymous
  • anonymous
alright, and so from there, what step is next?
anonymous
  • anonymous
just solve like any linear equation. \[x+2=2x-5\] \[2+5=2x-x\] \[7=x\]
anonymous
  • anonymous
or \[x+2=-(2x-5)\] \[x+2=-2x+5\] \[x+2x=5-2\] \[3x=3\] \[x=1\]
anonymous
  • anonymous
OH, OK!
anonymous
  • anonymous
hey do you have time, ? because i have another question...
anonymous
  • anonymous
and btw, thanks a lot.
anonymous
  • anonymous
AWH, no satellite, dont forsake me right now! I got aaaaaa big TEST tomorrow!
anonymous
  • anonymous
one more and then i turn into a pumpkin
anonymous
  • anonymous
what's that mean?
anonymous
  • anonymous
go ahead and ask
anonymous
  • anonymous
never saw or read cinderella?
anonymous
  • anonymous
oh, yeah, aha.... but its only 10:44, doesn't that happen at 12?
anonymous
  • anonymous
eastern standard time
anonymous
  • anonymous
Interesting. Ok, anyways, sorry for delaying your transformation, but could you give me some heads up on solving prequalities?
anonymous
  • anonymous
?? ptequalities?
anonymous
  • anonymous
even spell check doesn't like that
anonymous
  • anonymous
I don't know, the weird lady put one of the subjects we need to study, under "Solving prequaltities and graphing solution." Any ideas?
anonymous
  • anonymous
sorry never heard of them.
anonymous
  • anonymous
google hasn't either so i don't feel bad
anonymous
  • anonymous
Yeah, it doesn't even show up on google. !
anonymous
  • anonymous
Alright, well, you've been of great help! And I appreciate it. Thank you, who ever you are, and have a good one!
anonymous
  • anonymous
gnight.

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