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anonymous

  • one year ago

What are the solutions to Ix-10I -4=2x?

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  1. anonymous
    • one year ago
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    @Vocaloid

  2. hhopke
    • one year ago
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    x=6

  3. Vocaloid
    • one year ago
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    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

  4. anonymous
    • one year ago
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    x=2 and x=-14?

  5. Vocaloid
    • one year ago
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    good, now plug both back into the original equation. only one ends up working in the end

  6. anonymous
    • one year ago
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    wait absolute value means that the - is actually positive unless written like this -|10|

  7. anonymous
    • one year ago
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    x=2?

  8. Vocaloid
    • one year ago
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    good, x = 2 is our answer. x = -14 is an extraneous solution

  9. anonymous
    • one year ago
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    wouldn't it be 3 ?????????????????????????

  10. Vocaloid
    • one year ago
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    http://www.wolframalpha.com/input/?i=%7Cx-10%7C+%3D+2x+%2B+4

  11. anonymous
    • one year ago
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    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

  12. Vocaloid
    • one year ago
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    or, to do it algebraically: x - 10 = -(2x+4) x - 10 = -2x - 4 3x = 6 x = 2

  13. anonymous
    • one year ago
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    in this case wouldnt it be x+10 and |x+(-10)| be the same or no and why?

  14. Vocaloid
    • one year ago
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    x = 3 doesn't work, try plugging it back into the original equation

  15. Vocaloid
    • one year ago
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    no, x+10 and |x+(-10)| are not the same

  16. anonymous
    • one year ago
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    o yh your right I plugged 2 in sorry

  17. anonymous
    • one year ago
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    I got it ;)

  18. anonymous
    • one year ago
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    AND X Does Not Equal 6 -_-

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