anonymous
  • anonymous
PLEASE HELP ME UNDERSTAND Solve for x: 3|x − 3| + 2 = 14 No solutions x = −1, x = 8.3 x = 0, x = 7 x = −1, x = 7
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
First step is to get everything but the absolutes alone. So get everything but \(\left| x-3 \right|\) to the other side.
anonymous
  • anonymous
so subtract 2?
anonymous
  • anonymous
One more after that, but yes.

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anonymous
  • anonymous
then divide by 3
anonymous
  • anonymous
Right! So we'll be left with \[\large \left| x-3 \right| = 4\] Now to get the absolutes, you get the negative and positive. So we can split it to look like \[\large x-3=4~~~and~~~x-3=-4\] Now solve them :)
anonymous
  • anonymous
add 3 in both equations, but one equation has no solution right, since the absolute valuse cant be negative?
anonymous
  • anonymous
No the x will be negative, the absolute will cancel it out though :)
anonymous
  • anonymous
ohk?
anonymous
  • anonymous
so x=1 or x=-1
anonymous
  • anonymous
Well plug those two in and see if they work.
anonymous
  • anonymous
they dont
anonymous
  • anonymous
Both, or just one?
anonymous
  • anonymous
just one
anonymous
  • anonymous
poitive 1 doesnt work??
anonymous
  • anonymous
I'll show you what went wrong. \[\large x-3=4\to \large x=4+3\]
anonymous
  • anonymous
ohk
anonymous
  • anonymous
so x=-1 or x=7
anonymous
  • anonymous
Correct! Good job :)
anonymous
  • anonymous
thanks! :)
anonymous
  • anonymous
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