Question

вычислите (2+i)/(3-i)

Answer 1

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