Question

Find the quotient of 5+4i/6+8i , and express it in the simplest form

Answer 1

remember: i² = -1


`(5+4i)/(6+8i)= ((5+4i)(6-8i))/((6+8i)(6-8i))= (30-40i+24i-32i^2)/(36-64i^2)= (30-16i-32(-1))/(36-64(-1))= \\ \\ = (30-16i+32)/(36+64)= (62-16i)/(100)=0.62-0.16i`

Hope this helps