Question

Write the quotient in standard form. 10 − 20i 1 − 3i

Answer 1

Explanation:

you mean
`(10-20 i)/(1-3i)`

`(10-20\iota)/(1-3 \iota) =(10-20 \iota)/(1-3 \iota) *(1+3 \iota)/(1+3 \iota) \\=(10+30 \iota-20 \iota-60 \iota^2)/(1-9 \iota^2) \\=(10+10 \iota-60(-1))/(1-9(-1)) \\=(70+10 \iota)/(10) \\=7+ \iota`