Question

вычислите (2+i)/(3-i)

Answer 1

$\frac{(2 + i)}{(3 - i)} \\ \\ \frac{(2 + i) \times (3 + i)}{(3 - i) \times (3 + i)} \\ \\ \frac{6 + 2i + 3i + i {}^{2} }{9 - i {}^{2} } \\ \\ \frac{6 + 2i + 3i - 1}{9 - ( - 1)} \\ \\ \frac{5 + 5i}{9 + 1} \\ \\ \frac{5(1 + i)}{10} \\ \\ \frac{1 + i}{2} \\ \\ \frac{1}{2} + \frac{1}{2} i$