Question

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

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).