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28 December, 06:41

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

The product of (3 + 2) and a complex number is (17 + 71).

The complex number is

+5
Answers (1)
  1. 28 December, 07:05
    0
    5-i

    Step-by-step explanation:

    Product=multiplication

    Let the complex number=x

    (3+2i) * x=17+7i

    x=17+7i / 3+2i

    x = (17-7i) * (3-2i) / (3+2i) * (3+2i)

    =51-34i+21i+14i^2 / 9+6i+6i+4i^2

    =51+13i+14i^2 / 9+12i+4i^2

    = (51+14 - 13i) / 13

    = (65 - 13i) / 13

    = 65 / 13 - 13 i / 13

    = 5 - i.
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