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Math Help - Complex numbers

  1. #1
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    Question Complex numbers

    Write an expression in standard form for the quotient (a + bi)/(c+di) of two complex numbers.

    Thanks in advance for any help!
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  2. #2
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    (a + bi)/(c+di) =  \frac {a+bi}{c+di} = \frac {(a+bi)(c-di)}{(c+di)(c-di)}= \frac {ac-adi+bci+bdi^2}{c^2-d^2i^2} = \frac {ac+bci-adi-bd}{c^2+d^2} = \frac {(ac-bd+(bc-ad)i}{c^2+d^2} = \frac {ac-bd}{c^2+d^2} + \frac {bc-ad}{c^2+d^2}i
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  3. #3
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    (a + bi)/(c+di) =

    Complex numbers-equation.png
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  4. #4
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    Sorry, there is a mistake, i will try again
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  5. #5
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    Cool

    Complex numbers-equation-2-.png
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