Question

what is the multiplicative inverse of 2+3i/2-3i

Answer 1

a. -5-12i/13
b. 13-12i/13
c. -13+12i/13
or
d. 5-12i/13
i dont know how i got those answers but when i did it four times i got four different but similair answers? crazy!

Answer 2

do you know whatt multiplicative inverse is?

Answer 3

of complex numbers yes

Answer 4

so - first step
2-3i/2+3i
are we good up-to this step?

Answer 5

(2-3i)(2+3i)/(2+3i)(2-3i)

Answer 6

Yes so the result [2*2-3*(-3)]+[2*3+(-3)*2]i/13 do you understand what I justdid?

Answer 7

it's wrong right?

Answer 8

that's because you made a mistake in the second step
it shouldn't be like this (2-3i)(2+3i)/(2+3i)(2-3i)
rather it's (2-3i)(2-3i)/(2+3i)(2-3i) do you see why?