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10 December, 07:33

Divide the following complex numbers: (6-i) / (5+4i)

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  1. 10 December, 09:12
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    (6-i) / (5+4i) =

    Multiply both numerator and denominator by (5-4i):

    (6-i) (5-4i) / (5+4i) (5-4i) =

    (30-24i-5i+4i^2) / (5^2-16i^2) =

    (30-29i+4i^2) / (25-16i^2) =

    i^2 = - 1

    (30-29i+4 * (-1)) / (25-16 * (-1)) =

    (26-29i) / 41
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