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

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 171035: how can I solve this problem? 2i ______ 1-iAnswer 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: ----- when you multiply you get: which becomes: since , it becomes: which becomes: ----- 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: