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anonymous

  • one year ago

Solve 4 over x minus 4 equals the quantity of x over x minus 4, minus four thirds for x and determine if the solution is extraneous or not. x = 4, extraneous x = 4, non-extraneous x = -4, extraneous x = -4, non-extraneous

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  1. anonymous
    • one year ago
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    \[\frac{4}{x-4}=\frac{x}{x-4}-\frac{4}{3}\]?

  2. anonymous
    • one year ago
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    yes

  3. anonymous
    • one year ago
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    there is no solution, so not sure why you are supposed to come up with one

  4. anonymous
    • one year ago
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    i guess since there is no solution you are supposed to say x = 4, extraneous

  5. anonymous
    • one year ago
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    if you subtract you get \[\frac{4-x}{x-4}=-\frac{4}{3}\]

  6. anonymous
    • one year ago
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    since \(\frac{4-x}{x-4}=-1\) you have \[-1=-\frac{4}{3}\] which is silly

  7. anonymous
    • one year ago
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    not sure why you are supposed to say "4, extraneous" when "no solution" should suffice, but what do i know? must be some math teacher way to solve that gives \(4\) as an answer, even though it isn't one

  8. anonymous
    • one year ago
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    im not understanding

  9. anonymous
    • one year ago
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    subtract \(\frac{x}{x-4}\) from both sides of the equation

  10. phi
    • one year ago
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    how do people come up with these questions??!

  11. anonymous
    • one year ago
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    you get \[\frac{4-x}{x-4}=-\frac{3}{4}\]

  12. anonymous
    • one year ago
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    the left hand side is a number, it is \(-1\)

  13. anonymous
    • one year ago
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    the answer choices are under the question

  14. anonymous
    • one year ago
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    @phi no clue

  15. anonymous
    • one year ago
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    go with x = 4, extraneous

  16. anonymous
    • one year ago
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    extraneous is math teacherese for "no solution"

  17. anonymous
    • one year ago
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    ok ill let you know if its right or wrong i have 51 questions so this is just the many ones XD

  18. anonymous
    • one year ago
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    51 in 60 minutes lol

  19. anonymous
    • one year ago
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    huh

  20. phi
    • one year ago
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    if you clear the denominator (multiply by x-4 ) you can "solve" to get x=4 but really sats way of solving shows no solution with no extraneous value.

  21. mathstudent55
    • one year ago
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    \(\large \dfrac{4}{x-4}=\dfrac{x}{x-4}-\dfrac{4}{3} \) \(\large 3(x - 4)\dfrac{4}{x-4}=3(x - 4)\dfrac{x}{x-4}-3(x - 4)\dfrac{4}{3} \) \(\large 12 = 3x -12x + 48\) \(\large 9x = 36\) \(\large x = 4\) Since x = 4 cause a zero in the denominator, x = 4 is discarded and there is no solution.

  22. anonymous
    • one year ago
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    ok thank you <3

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