The product of (3+2i) and a complex number is (17+7i)

What is the complex number.

The question is asking us to find the complex number such that: (3 + 2 i) * x = 17 + 7 i. We know that i^ 2 = - 1. x = (17 + 7 i) / (3 + 2 i). We have to multiply the numerator and the denominator by (3 - 2 i). Then: x = (17 + 7 i) * (3 - 2 i) / (9 - 4 i^2) = (51 - 34 i + 21 i - 14 i^2) / (9 + 4) = (51 + 14 - 13 i) / 13 = (65 - 13 i) / 13 = 65 / 13 - 13 i / 13 = 5 - i. Answer: The complex number is 5 - i.