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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?

 May 9, 2021
 #1
avatar+311 
+1

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.laugh

 May 9, 2021
 #2
avatar+32833 
+1

Rationalize the denominator by multiplying by   (1-3i)/(1-3i)    to get      (9+13i)/10

 May 9, 2021

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