anonymous
  • anonymous
What are the solutions to Ix-10I -4=2x?
Mathematics
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anonymous
  • anonymous
What are the solutions to Ix-10I -4=2x?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
hhopke
  • hhopke
x=6
Vocaloid
  • Vocaloid
alright, this one is a bit trickier first, let's add 4 to each side to get the absolute value by itself |x-10| = 2x + 4 now we write two equations: x - 10 = 2x + 4 x - 10 = -(2x+4) solve both for x. you will get 2 different values

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anonymous
  • anonymous
x=2 and x=-14?
Vocaloid
  • Vocaloid
good, now plug both back into the original equation. only one ends up working in the end
anonymous
  • anonymous
wait absolute value means that the - is actually positive unless written like this -|10|
anonymous
  • anonymous
x=2?
Vocaloid
  • Vocaloid
good, x = 2 is our answer. x = -14 is an extraneous solution
anonymous
  • anonymous
wouldn't it be 3 ?????????????????????????
Vocaloid
  • Vocaloid
http://www.wolframalpha.com/input/?i=%7Cx-10%7C+%3D+2x+%2B+4
anonymous
  • anonymous
everything that is enclosed in an absolute bars | | equals to zero an unknown number with variable x may either be positive or negative |-x| = x and |x| = x this is why we have two sets of answers for the most part
Vocaloid
  • Vocaloid
or, to do it algebraically: x - 10 = -(2x+4) x - 10 = -2x - 4 3x = 6 x = 2
anonymous
  • anonymous
in this case wouldnt it be x+10 and |x+(-10)| be the same or no and why?
Vocaloid
  • Vocaloid
x = 3 doesn't work, try plugging it back into the original equation
Vocaloid
  • Vocaloid
no, x+10 and |x+(-10)| are not the same
anonymous
  • anonymous
o yh your right I plugged 2 in sorry
anonymous
  • anonymous
I got it ;)
anonymous
  • anonymous
AND X Does Not Equal 6 -_-

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