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14 January, 03:35

Z1 = 3 + 2i and z2 = - 5 - 3i

What are the conjugates of z1 and z2?

What is the conjugate of the product of z1 and z2?

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Answers (1)
  1. 14 January, 03:58
    0
    See below in bold.

    Step-by-step explanation:

    z1: 3 + 2i

    The conjugate is 3 - 2i.

    z2: - 5 - 3i The conjugate is - 5 + 3i.

    The product z1 * z2 = (3 + 2i) (-5 - 3i)

    = - 15 - 9i - 10i - 6i^2

    = - 15 - 19i - 6*-1

    = - 15 - 19i + 6

    = - 9 - 19 i.

    So it's conjugate is - 9 + 19 i.
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