SOLUTION: Perform the division (7+i)/(1-2i) by finding the reciprocal of 1-2i and multipliying. Then perform the division by the method of the lesson.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Perform the division (7+i)/(1-2i) by finding the reciprocal of 1-2i and multipliying. Then perform the division by the method of the lesson.      Log On


   

Question 1054360: Perform the division (7+i)/(1-2i) by finding the reciprocal of 1-2i and multipliying. Then perform the division by the method of the lesson.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Not the reciprocal, the complex conjugate.
%287%2Bi%29%2F%281-2i%29=%28%287%2Bi%29%2F%281-2i%29%29%28%281%2B2i%29%2F%281%2B2i%29%29
%287%2Bi%29%2F%281-2i%29=%287%2B14i%2Bi%2B2i%5E2%29%2F%281%2B2i-2i-4i%5E2%29
%287%2Bi%29%2F%281-2i%29=%285%2B15i%29%2F%285%29
%287%2Bi%29%2F%281-2i%29=1%2B3i