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Math Help - Solving complex number with divison

  1. #1
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    Lahore
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    Solving complex number with divison

    Hi,

    Q) Separate into real and imaginary parts (write as a simple complex number):

    • (-2 + 3i)/(1 + i)


    Please help me solving it ! I know the method is by multiplying it with conjugate but can't get a proper answer.
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  2. #2
    Senior Member
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    First expand the numerator  (-2+3i)^2

     4+(2)(-2)(3i) + 9i^2

     4-12i+9i^2

    Since i^2 = -1 then  -5-12i

    Now multiply your new fraction by the conjugate of  (1+i) which is 1-i
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  3. #3
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    Thanx for the help !
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