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ExplainItLikeImFive

Solve the equation. Identify any extraneous solutions.

  • 9 months ago
  • 9 months ago

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  1. ExplainItLikeImFive
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    • 9 months ago
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  2. ExplainItLikeImFive
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    A. 6 is a solution to the original equation. The value –5 is an extraneous solution. B. 6 and 5 are both extraneous solutions. C. 5 is a solution to the original equation. The value –6 is an extraneous solution. D. 6 and –5 are solutions.

    • 9 months ago
  3. dan815
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    do u know the meaning of extraneous

    • 9 months ago
  4. ExplainItLikeImFive
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    That it's unrelated, I think.

    • 9 months ago
  5. cwrw238
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    square both sides x^2 = x+ 30 x^2 -x - 30 = 0 can u solve this?

    • 9 months ago
  6. ExplainItLikeImFive
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    Ill try

    • 9 months ago
  7. cwrw238
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    extraneous means that although the working out gives it as a solution , it is not possible as a root

    • 9 months ago
  8. ExplainItLikeImFive
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    5 and 6?

    • 9 months ago
  9. cwrw238
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    not quite (x - 6)(x + 5) = 0 giving x = 6 , -5

    • 9 months ago
  10. ExplainItLikeImFive
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    So what do I do with that?

    • 9 months ago
  11. cwrw238
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    well see if these roots are possible by substituting each into the original equation

    • 9 months ago
  12. cwrw238
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    eg x = 6 6 = sqrt(6 + 30) 6 = 6 - so that is a genuine root

    • 9 months ago
  13. ExplainItLikeImFive
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    So I can eliminate B and C

    • 9 months ago
  14. cwrw238
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    yes

    • 9 months ago
  15. cwrw238
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    is -5 a solution?

    • 9 months ago
  16. ExplainItLikeImFive
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    I dont think so.

    • 9 months ago
  17. cwrw238
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    try plugging in -5 for x in the original equation

    • 9 months ago
  18. cwrw238
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    - 5 = sqrt (-5 + 30) does that work out?

    • 9 months ago
  19. ExplainItLikeImFive
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    No

    • 9 months ago
  20. cwrw238
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    what are the square roots of 25?

    • 9 months ago
  21. cwrw238
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    5 ANd -5 right?

    • 9 months ago
  22. ExplainItLikeImFive
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    Yes

    • 9 months ago
  23. cwrw238
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    so its a genuine root

    • 9 months ago
  24. ExplainItLikeImFive
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    So they're both genuine making them both solutions.

    • 9 months ago
  25. cwrw238
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    right

    • 9 months ago
  26. ExplainItLikeImFive
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    I do believe I'd pick D

    • 9 months ago
  27. cwrw238
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    correct

    • 9 months ago
  28. ExplainItLikeImFive
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    Thank you very much.

    • 9 months ago
  29. cwrw238
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    yw

    • 9 months ago
  30. Laaislima
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    wrong.

    • 7 months ago
  31. cwrw238
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    please explain why thats wrong

    • 7 months ago
  32. Laaislima
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    ask the teacher, I answered D and I got it wrong.

    • 7 months ago
  33. dan815
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    hii

    • 7 months ago
  34. dan815
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    |dw:1377219675010:dw|

    • 7 months ago
  35. dan815
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    is this your question?

    • 7 months ago
  36. dan815
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    oh sorry this is your question |dw:1377219778699:dw|

    • 7 months ago
  37. dan815
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    your answers are 6 and -5!

    • 7 months ago
  38. dan815
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    |dw:1377219879123:dw|

    • 7 months ago
  39. Laaislima
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    The right answer should be 6 is a solution to the original equation. The value –5 is an extraneous solution.

    • 7 months ago
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