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

Question

Mathematics

Mariana Elliott

22 June, 10:34

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

+5

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Edward Meza · Answer 1

Hi there! Let x be the complex number. (3+2i) (x) = (17+7i), (x) = (17+7i) / (3+2i) = (17+7i) / (3+2i) * (3-2i) / (3-2i), (17+7i) * (3-2i) / (9+4), (51-34i+21i+14) / 13), (65-13i) / 13, 13 (5-i) / 13 = (5-i). Therefore, the complex number is (5-i).