William Sydney Porter tried to perform the calculation (-3 + 4i)/(1 + 3i). However, he accidentally missed the minus sign, finding (3 + 4i)/(1 + 3i) = 3/2 - 1/2*i. What answer should he have obtained?
Pretty easy, I'll help you get started
$i$ = $sqrt(-1)$
$i^2$ = $-1$
$i^3$ = $-sqrt(-1)$
$i^4$ = $1$
And it repeats like that.
This problem is very elementry and very engrossing.
Rationalize the denominator by multiplying by (1-3i)/(1-3i) to get (9+13i)/10