3

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

The complex number is

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.