Question

Determine os numeros complexos na forma a+bi a) 3+2i/1+i b) 3+4i/12-5i

Answer 1

(3+2i)/(1+i) × (1-i)/(1-i)
3-3i+2i -2i² / 1² - I²
3-i +2 / 1 + 1
5-i/2
5/2 - 1/2 i


(3+4i)/(12-5i) × (12+5i)/(12+5i)
36+15i+48i -20i² / 12² - (5i)²
36+63i +20 / 144 + 25
56 +63i / 169
56/169 + 63/169 i