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anonymous

  • one year ago

How would you solve the given equation?

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  1. anonymous
    • one year ago
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    .

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  2. mathstudent55
    • one year ago
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    Is the fraction 1/3 the exponent of x?

  3. anonymous
    • one year ago
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    Not sure, I honestly don't understand at all. here are the multiple choice answers if it helps? But I need the explanation on how to do it.

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  4. mathstudent55
    • one year ago
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    I don't understand how that problem can have those answers.

  5. mathstudent55
    • one year ago
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    The equation looks like this to me. \(\Large x - 7x^{\frac{1}{3}} + 6 = 0\)

  6. anonymous
    • one year ago
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    Yea same here but not, but I don't know what the "-" sign is suppose to be?

  7. mathstudent55
    • one year ago
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    To solve this equation (assuming this is the correct equation), Move the exponent term to the right, and cube both sides.

  8. mathstudent55
    • one year ago
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    \(\Large x - 7x^{\frac{1}{3}} + 6 = 0\) \(\Large x + 6 = 7x^{\frac{1}{3}}\) \(\Large (x + 6)^3 = (7x^{\frac{1}{3}})^3\) \(\Large (x + 6)^3 = 343x\) \(\Large (x + 6)(x^2 + 12x + 36) = 343x\) \(\Large x^3 + 12x^2 + 36x + 6x^2 + 72x + 216 = 343x\) \(\Large x^3 + 18x^2 + 108x + 216 = 343x\) \(\Large x^3 + 18x^2 - 235x + 216 = 0\)

  9. anonymous
    • one year ago
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    \[7x ^{\frac{ 1 }{ 3 }} = x+6\]\[343x = x^3+18x^2+108x+216\]\[x^3+18x^2-235x+216=0\]But neither 216 nor -216 is a root. Could there be something wrong with the question?

  10. UsukiDoll
    • one year ago
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    well plugging in x = 1 I do have the equation going to 0 .

  11. UsukiDoll
    • one year ago
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    maybe rational toot test might work?!

  12. UsukiDoll
    • one year ago
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    wow something is off with the question...

  13. UsukiDoll
    • one year ago
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    |dw:1439178737323:dw|

  14. UsukiDoll
    • one year ago
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    and then factoring that (x-8)(x+27) so (x-1)(x-8)(x+27) or x = 1,8,-27 where the heck does x = 216 or x = -216 come into play?

  15. UsukiDoll
    • one year ago
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    OMG I ANSWERED MY OWN QUESTION x = -216 x = (-27)(8)

  16. UsukiDoll
    • one year ago
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    those dummies combined the x = -216 -___________- the answer is actually x = 1, x = 8, x = -27 but they thought it was a great idea to combine x =8 and x -27 together to make x=(8)(-27) = -216 X_X!

  17. anonymous
    • one year ago
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    So with my choices given would it be c?

  18. UsukiDoll
    • one year ago
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    yeah.. and if they knock points off, you can complain and use my work as evidence to show how wrong they are.

  19. anonymous
    • one year ago
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    Ok will, thank you once again!

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