confused about a solution to an imaginary operation?

2 ⤊

What is the solution to 8/2i? Is it 4i or -4i? Please show me which is correct, thank you.

2007-07-19 10:16:47 · 3 answers · asked by jumba 1 in Science & Mathematics ➔ Mathematics

I meant to say 8/-2i.

2007-07-19 10:42:56 · update #1

It's -4i

Look at it this way
1/i = i / i^2
But i^2 = -1
So 1/i = -i
Thus 8/(2i) = 4/i = -4i

2007-07-19 10:19:21 · answer #1 · answered by Dr D 7 · 1⤊ 0⤋

8/2i =
4/i =
4i/(i * i) =
4i/i^2 =
4i/(-1) =
-4i

2007-07-19 17:24:28 · answer #2 · answered by N E 7 · 1⤊ 0⤋

8 / (- 2 i) = - 4 / i = - 4 i / iÂ² = - 4 i / (-1) = 4 i

2007-07-19 18:00:03 · answer #3 · answered by Como 7 · 0⤊ 0⤋