 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2011/paper-2/5/solution

Rationalize with the complex conjugate

4 - 3 i

\frac{5 - 2 i}{4 + 3 i} = \frac{( 5 - 2 i ) ( 4 - 3 i )}{4 ^{2} + 3 ^{2}} = \frac{14 - 23 i}{25} .

Re = \frac{14}{25}, Im = - \frac{23}{25} .

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