Question

Simplify: 2-3i / 4-3i

Answer 1

I know I need to factor but I can't find any common factors

Answer 2

first you need to multiply the top and the bottom by 4+3i to get rid of the i's in the denominator. \[\frac{ 2-3i }{ 4 - 3i }* \frac{ 4+3i }{ 4+3i }\]

Answer 3

i can do this even though there is no equality?

Answer 4

just letting you know that i^2=-1

Answer 5

yes, i am aware of this

Answer 6

thanks for letting me know though. appreciate it.

Answer 7

\[\frac{ 8 + 6i - 12i - 9i^2 }{ 16 + 12i - 12i - 9I^2 }\]

Answer 8

\[\frac{ 17 - 6i}{ 25 }\]

Answer 9

\[\frac{ 17 }{ 25 } - \frac{ 6 }{ 25 }i\]

Answer 10

awesome. thanks for the help. I really should know all this, my brain has just been melted by too much borderlands. thanks man

Answer 11

You're welcome. :)