SOLUTION: Hi. I tried solving this expression but cannot get it. -2-5i / 3i the slash indicates DIVIDED BY. I know u cannot leave an "i" in the denominator, but i dont not know how to g

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Hi. I tried solving this expression but cannot get it. -2-5i / 3i the slash indicates DIVIDED BY. I know u cannot leave an "i" in the denominator, but i dont not know how to g      Log On


   

Question 680602: Hi. I tried solving this expression but cannot get it.
-2-5i / 3i
the slash indicates DIVIDED BY. I know u cannot leave an "i" in the denominator, but i dont not know how to get rid of it. Please help and thank you!
Found 2 solutions by josmiceli, ReadingBoosters:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+-2+-+5i+%29+%2F+%283i%29+
Multiply the top and bottom by +-i+
+%28+%28+-2+-+5i+%29+%2F+3i+%29+%2A+%28+%28-i%29%2F%28-i%29+%29+
+%28+-i%2A%28+-2+-+5i+%29+%29+%2F+%28+3%2Ai%2A%28-i%29+%29+
+%28+2i+%2B+5%2A%28-1%29+%29+%2F+%28+-3%2A%28-1%29+%29+
+%28+-5+%2B+2i+%29+%2F+3+
+-5%2F3+%2B+%282%2F3%29%2Ai+
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To check it, I'll say
+%28+-2+-+5i+%29+%2F+%283i%29+++=+-5%2F3+%2B+%282%2F3%29%2Ai+
Multiply both sides by +3i+
+-2+-+5i+=+%28-5%2F3%29%2A%283i+%29+%2B+%282%2F3%29%2A%283i%29%2Ai+
+-2+-+5i+=+-5i+-+2+
OK

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28-2-5i%29%2F3i%29%28i%2Fi%29+=+%28i%28-2-5i%29%29%2F%28i%283i%29%29
...
i^2 = sqrt%28-1%29%5E2+=+-1
...

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