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anonymous

  • one year ago

Classify the solutions of 1 over x plus 4, plus one half, equals 1 over x plus 4 as extraneous or non-extraneous

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  1. misty1212
    • one year ago
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    lol there is either a solution, or there is not not sur what math teacher made up this "extraneous' nonsense

  2. misty1212
    • one year ago
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    \[\frac{1}{x+4}+\frac{1}{2}=\frac{1}{x+4}\]? is that the question?

  3. anonymous
    • one year ago
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    i just need help with the extraneous and non extraneous

  4. anonymous
    • one year ago
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    yes that is

  5. misty1212
    • one year ago
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    a bit hard to read

  6. misty1212
    • one year ago
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    oh ok then lets think

  7. misty1212
    • one year ago
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    x is a variable, it can be anything but whatever it is on the left, it is the same on the right so if you add one half to a number, it is impossible to get the same number back there is NO SOLUTION

  8. anonymous
    • one year ago
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    the answer is x= -4 but idk if its extraneous or not

  9. misty1212
    • one year ago
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    THE ANSWER IS NOT X = -4

  10. anonymous
    • one year ago
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    then what is it? bc i followed the directions in the lesson

  11. misty1212
    • one year ago
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    ok fine, say \(x=-4\) is "extraneous" if that will make your math teacher happy

  12. anonymous
    • one year ago
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    do you know the difference between the two?

  13. misty1212
    • one year ago
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    \[\overbrace{\frac{1}{x+4}}^{\text{this}}+\frac{1}{2}=\overbrace{\frac{1}{x+4}}^{\text{is equal to this}}\]

  14. anonymous
    • one year ago
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    ok

  15. misty1212
    • one year ago
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    you cannot add one half to a number and get the same number back

  16. misty1212
    • one year ago
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    the not very bright math teacher who wants you not to think like a person, but do some steps to "solve" wants you to find that \(x=-4\) but \(x\) cannot be \(-4\) because a) that would make the denominator zero and b) there is NO SOLUTION

  17. misty1212
    • one year ago
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    therefore they want you to behave like a robot and say "the solution is \(x=-4\) but it is "extraneous""

  18. anonymous
    • one year ago
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    x = −4; extraneous x = −4; non-extraneous x = −8; extraneous x = −8; non-extraneous so out of these answer choices......its the first one?

  19. anonymous
    • one year ago
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    @misty1212

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