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math

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5-9i/5+2i

  • math - ,

    First, multiply both the numerator (top) and denominator (bottom) by the equivalent of 1 to eliminate i in the denominator:

    (5 - 9i)(5 - 2i)
    ----------------
    (5 + 2i)(5 - 2i)

    25 - 55i + 18i^2
    ----------------
    25 - 4i^2

    Remember that i^2 = -1

    25 - 55i + 18(-1)
    -----------------
    25 - 4(-1)

    25 - 55i - 18
    -------------
    25 + 4

    7 - 55i
    -------
    29

    You can change this to standard form if asked to do so.

    I hope this helps.

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