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31 January, 20:27

Simplify (9 + 7i) / (-10 + 8i)

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Answers (2)
  1. 31 January, 20:38
    0
    -17/82-71i/82 should be the correct answer.
  2. 31 January, 20:42
    0
    Multiply numerator and denominator by the conjugate of the denominator

    Denominator: - 10 + 8i

    Conjugate of the denominator: - 10 - 8i

    Operation:

    [9 + 7i] / [-10 + 8i] * [-10 - 8i] / [-10 - 8i] = [-90 - 72i - 70i + 56] / [100 + 64] =

    [-34 - 142i] / 164 = [-17 - 71i] / 82
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