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anonymous

  • one year ago

ALGEBRA!! Factor completely over the complex numbers. x^4+18x^2+81 Any idea how the final answer looked like? (x^2+9)(x^2+9)

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  1. anonymous
    • one year ago
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    Guys help! @ganeshie8 @Nnesha @Michele_Laino

  2. anonymous
    • one year ago
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    @Luigi0210 @sammixboo @welshfella :D

  3. welshfella
    • one year ago
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    yea that's correct

  4. welshfella
    • one year ago
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    oh you need it over complex numbers

  5. anonymous
    • one year ago
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    Yep maybe (x^2+9i)^2 (x^2+9i)^2 ?

  6. welshfella
    • one year ago
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    fill in the blanks x^2 + 9 = (x 3i)(x 3i) ?

  7. anonymous
    • one year ago
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    (x^2+3i)(x^2+3i) ?

  8. welshfella
    • one year ago
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    what signs go in the parentheses?

  9. anonymous
    • one year ago
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    Both positives

  10. welshfella
    • one year ago
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    no and its x not x^2

  11. welshfella
    • one year ago
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    x^2 + 9 = (x + 3i)(x - 3i)

  12. anonymous
    • one year ago
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    Oh i get it

  13. anonymous
    • one year ago
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    x^4+18x^2+81 this is the that will be factored over the complex numbers

  14. welshfella
    • one year ago
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    so complete factors are (x + 3i)(x - 3i)(x + 3i)(x - 3i))

  15. anonymous
    • one year ago
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    Is that the same with (x+3i)^2(x-3i)^2 ??

  16. welshfella
    • one year ago
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    yes you can write it that way

  17. welshfella
    • one year ago
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    are you happy about multiplying these imaginary numbers? -3i * + 3i = -9 * i^2 = -9 * - 1 = +9 because i^2 = -1

  18. anonymous
    • one year ago
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    |dw:1440088856517:dw|

  19. anonymous
    • one year ago
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    Looks like this?

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  20. anonymous
    • one year ago
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    @welshfella

  21. welshfella
    • one year ago
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    - where did you get that from? its not x^2 it is x

  22. welshfella
    • one year ago
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    If you expanded that the first term would be x^8 not x^4

  23. anonymous
    • one year ago
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  24. welshfella
    • one year ago
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    thats it

  25. anonymous
    • one year ago
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    Thanks! :)

  26. welshfella
    • one year ago
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    yw

  27. anonymous
    • one year ago
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    Reasons why i love openstudy, and @welshfella Hahahaha

  28. anonymous
    • one year ago
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    If i can give you 1000 medals I will

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