SOLUTION: I'm needing your help on the following: For z = 8 - i and w = 1 - 2i, find z/w. That is, determine (8 - i)/(1 - 2i) and simplify as much as possible, writing the result in th

Algebra ->  Real-numbers -> SOLUTION: I'm needing your help on the following: For z = 8 - i and w = 1 - 2i, find z/w. That is, determine (8 - i)/(1 - 2i) and simplify as much as possible, writing the result in th      Log On


   



Question 1039080: I'm needing your help on the following:
For z = 8 - i and w = 1 - 2i, find z/w. That is, determine (8 - i)/(1 - 2i) and simplify as much as possible, writing the result in the form a + bi, where a and b are real numbers. Show work.
I'm not sure where to begin here. Please help! :)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(8 - i)/(1 - 2i)
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Multiply the NUM and DEN by the conjugate of the DEN, 1 + 2i
%288+-+i%29%2A%281+%2B+2i%29%2F%28%281+-+2i%29%2A%281+%2B+2i%29%29
= %288+%2B+15i+-+2i%5E2%29%2F%281+-+4i%5E2%29
= (10 + 15i)/5
= 2 + 3i