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Mathhelp346

PLEASEE HELP PLEASE!!!: 1. (-1+i √5)^2 2. (2-3i √2)^2

  • one year ago
  • one year ago

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  1. TBMonkey
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    are they supposed to be equal?

    • one year ago
  2. Mathhelp346
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    No, they're two seperate problems

    • one year ago
  3. Mathhelp346
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    Sorry for the confusion

    • one year ago
  4. TBMonkey
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    no problem hang on a sec kk?

    • one year ago
  5. Mathhelp346
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    Ok, thanks

    • one year ago
  6. TBMonkey
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    the first one should be i*4.84 the second should be i*1.96

    • one year ago
  7. Mathhelp346
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    How did you figure those out?

    • one year ago
  8. Mathhelp346
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    I checked the answers at the back of my textbook and it says -4-2i√5. Is that the same thing?

    • one year ago
  9. TBMonkey
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    yes but more complicated(:

    • one year ago
  10. Mathhelp346
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    Oh, ok. But how did you get those answers anyways?

    • one year ago
  11. TBMonkey
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    step by step lol your book should tell you

    • one year ago
  12. Mathhelp346
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    It doesn't have an example on this type. I don't know how to solve it with a square root.

    • one year ago
  13. TBMonkey
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    What?

    • one year ago
  14. Mathhelp346
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    Can you show me how you solved it step by step?

    • one year ago
  15. anikay
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    I can!

    • one year ago
  16. Mathhelp346
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    Ok :o

    • one year ago
  17. anikay
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    only cuz of your adorable pikachus though :D

    • one year ago
  18. Mathhelp346
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    xD Thank you

    • one year ago
  19. anikay
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    do you know what \[i^2 \] is?

    • one year ago
  20. Mathhelp346
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    yes -1

    • one year ago
  21. anikay
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    ok, so..... \[(-1+i+\sqrt{5})^2\] that's it?

    • one year ago
  22. Mathhelp346
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    That's it?

    • one year ago
  23. anikay
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    is that the problem in your book?

    • one year ago
  24. Mathhelp346
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    \[(-1+i \sqrt{5})^{2}\]

    • one year ago
  25. Mathhelp346
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    It's that

    • one year ago
  26. anikay
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    ok thanks

    • one year ago
  27. anikay
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    so we square everything inside the parentheses. to get -4

    • one year ago
  28. anikay
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    because -1^2 = 1 and i^2 = -1 and sqrt(5)^2 = 5 right?

    • one year ago
  29. Mathhelp346
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    Yeah

    • one year ago
  30. anikay
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    so the answer should be -4.....imo

    • one year ago
  31. anikay
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    is there something about the problem I'm missing?

    • one year ago
  32. Mathhelp346
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    But the answers in my textbook say it's -4-2i√5. Or is your answer and the textbook's the same thing?

    • one year ago
  33. anikay
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    they aren't

    • one year ago
  34. anikay
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    mine is simplifying the expression..... is that what your book is asking for

    • one year ago
  35. Mathhelp346
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    The textbook says multiply

    • one year ago
  36. anikay
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    ....omg I'm so sorry

    • one year ago
  37. anikay
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    *facepalm* I'm tired. gonna head to bed after I finish helping you

    • one year ago
  38. anikay
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    \[(-1+i \sqrt{5})(-1+i \sqrt{5})\]

    • one year ago
  39. anikay
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    foil

    • one year ago
  40. Mathhelp346
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    1+i√5^2?

    • one year ago
  41. anikay
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    ok, F.O.I.L. Front, Outside, Inside, Last

    • one year ago
  42. anikay
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    so first we multiply -1 by -1

    • one year ago
  43. anikay
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    ok we get 1 next we mutiply \[-1*i \sqrt{5}\]

    • one year ago
  44. anikay
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    then we do the same thing again for the inside terms

    • one year ago
  45. anikay
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    then the last, which is \[i \sqrt{5}*i \sqrt{5}\]

    • one year ago
  46. anikay
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    so all together, we get\[1- i \sqrt{5} - i \sqrt{5} - 5\] which simplifies to \[-4 -2i \sqrt{5}\]

    • one year ago
  47. Mathhelp346
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    oh ok thank you

    • one year ago
  48. anikay
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    so F.O.I.L, gotta remember that :P

    • one year ago
  49. Mathhelp346
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    Ok ^-^ Good night

    • one year ago
  50. anikay
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    here's a picture, just for good measure |dw:1355203674722:dw|

    • one year ago
  51. anikay
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    night

    • one year ago
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