Question

(Complex Numbers) Find each quotient: 2/(1-i)

Answer 1

multiply by the cotangent or (1+i)/(1+i)

Answer 2

I did that and it ends up being (2+2i)/2 which the 2's cancel out and it ends up as just 2i, right?

Answer 3

Conjugate! Dang autocorrect

Answer 4

not factor the 2 out so you get (1+i)

Answer 5

I don't see how it becomes (1+i), can you explain? I multiplied the top and bottom by (1+i) and that's how I end up with 2i.

Answer 6

you get to the point (2+2i)/2 right?

Answer 7

Yeah, was I suppose to leave it like that and not cancel out the two on top and bottom?

Answer 8

now factor a 2 out of the top so (2+2i)/2 = 2(1+i)/2 and then the 2s cancel out to give you( 1+i) do you see?

Answer 9

Yeah I do see it, thank you! I didn't think about factoring the 2 out that last time.

Answer 10

you had the hard part done, sometimes I forget the also!!

Answer 11

I thought I was on the right track.