SOLUTION: how can I solve this problem? 2i _____

SOLUTION: how can I solve this problem? 2i ______ 1-i

Question 171035: how can I solve this problem?
2i
______
1-i
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
you need to remove the 1-i from the denominator.
here's how:
multiply numerator and denominator by (1+i)
your equation becomes:

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when you multiply you get:

which becomes:

since , it becomes:

which becomes:

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the denominator of your equation is 2
the numerator is:

when you multiply that out, you get:

since i^2 = -1, that becomes:

which becomes

your equation is now:

simplify by dividing the numerator by the denominator to get:

put in standard complex form with the real part first and the imaginary part last:

and you're done.
the answer is: