SOLUTION: evaluate the expression 4+10i/2i and write the result in the form a+bi

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Question 561791: evaluate the expression 4+10i/2i and write the result in the form a+bi
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+4+%2B+10i+%29+%2F+%28+2i+%29+
Multiply top and bottom by +-i+
+%28+%28-i%29%2F%28-i%29+%29%2A%28%28+4+%2B+10i+%29+%2F+%282i%29+%29+
+%28+-4i+%2B+10%2Ai%2A%28-i%29+%29+%2F+%28%282i%29%2A%28-i%29%29+
+%28+10+-+4i+%29+%2F+2+
+5+-+2i+
check answer:
+%28+4+%2B+10i+%29+%2F+%28+2i+%29+=+5+-+2i+
+4+%2B+10i+=+%282i%29%2A%28+5+-+2i+%29+
+4+%2B+10i+=+10i+-+4i%5E2+
+4+%2B+10i+=+4+%2B+10i+
OK