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Math Help - ...easy complex numbers

  1. #1
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    Smile ...easy complex numbers

    Write 3 - (i^3 - i + 2)/(i^2 - i^4) in the form x + yi, where x and y are real numbers.

    Please show any working out thanks!
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Joker37 View Post
    Write 3 - (i^3 - i + 2)/(i^2 - i^4) in the form x + yi, where x and y are real numbers.

    Please show any working out thanks!
    3-\frac{i^3-i+2}{i^2-i^4} (Did I interpret this correctly??)

    Note that i^2=-1,~i^3=-i,~i^4=1

    Can you try to continue on?
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  3. #3
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    Quote Originally Posted by Chris L T521 View Post
    3-\frac{i^3-i+2}{i^2-i^4} (Did I interpret this correctly??)

    Note that i^2=-1,~i^3=-i,~i^4=1

    Can you try to continue on?
    3 - (i^3 - i + 2)/(i^2 - i^4)
    3 - (-i -1 +2)/(-1 -1)
    3 - (-i + 1)/-2

    (3/1) - (-i + 1)/-2
    (6/2) - (i + 1)/2

    Is this right so far?
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  4. #4
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    Quote Originally Posted by Joker37 View Post
    3 - (i^3 - i + 2)/(i^2 - i^4)
    3 - (-i -1 +2)/(-1 -1) Mr F says: This should be 3 - (-i - i +2)/(-1 -1). You will need to fix what follows.

    3 - (-i + 1)/-2

    (3/1) - (-i + 1)/-2
    (6/2) - (i + 1)/2

    Is this right so far?
    ..
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