SOLUTION: (8+9i)/(8+4i)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (8+9i)/(8+4i)      Log On


   

Question 519806: (8+9i)/(8+4i)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%288%2B9i%29%2F%288%2B4i%29 Start with the given expression.


%28%288%2B9i%29%2F%288%2B4i%29%29%28%288-4i%29%2F%288-4i%29%29 Multiply the fraction by %288-4i%29%2F%288-4i%29.


%28%288%2B9i%29%288-4i%29%29%2F%28%288%2B4i%29%288-4i%29%29 Combine the fractions.


FOIL the numerator.


FOIL the denominator.


%2864-32i%2B72i-36i%5E2%29%2F%2864-32i%2B32i-16i%5E2%29 Multiply.


%28100%2B40i%29%2F%2880%29 Combine like terms.


%28100%29%2F%2880%29%2B%28%2840%29%2F%2880%29%29i Break up the fraction.


5%2F4%2B%281%2F2%29i Reduce.


So %288%2B9i%29%2F%288%2B4i%29=5%2F4%2B%281%2F2%29i.


So the expression is now in standard form a%2Bbi where a=5%2F4 and b=1%2F2



If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim