SOLUTION: The instructions say divide. The problem is 4 / 7+i. I have come up with 7/12 + 1/12i. Is the the correct solution? THanks in advance.

Algebra ->  Inequalities -> SOLUTION: The instructions say divide. The problem is 4 / 7+i. I have come up with 7/12 + 1/12i. Is the the correct solution? THanks in advance.      Log On


   

Question 33630: The instructions say divide. The problem is 4 / 7+i. I have come up with 7/12 + 1/12i. Is the the correct solution? THanks in advance.
Answer by sarah_adam(201) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%287%2Bi%29
4%287-i%29%2F%287%2Bi%29%287-i%29 (rationalising the denominator)
%2828+-+4i%29%2F%2849+-+i%5E2%29
%2828+-+4i%29%2F%2849%2B1%29 ( since i+%5E2+=+-1)
%2828-4i%29%2F50
2%2814+-+2i%29%2F50
%2814+-+2i%29%2F25