SOLUTION: 6 minus 7 i / 3 plus i 6 - 7i divided by 3 + i Adult student studying for ACT, trying to figure this stuff out. Thanks!

Question 57451: 6 minus 7 i / 3 plus i
6 - 7i divided by 3 + i
Adult student studying for ACT, trying to figure this stuff out. Thanks!
Found 2 solutions by hehe, venugopalramana:
Answer by hehe(5) (Show Source): You can put this solution on YOUR website!
-1i/1 to the thrid power....
"smart one"
Revan International
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
6 minus 7 i / 3 plus i
6 - 7i divided by 3 + i
we make the denominator real by multiplying with conjugate.
(6-7i)/(3+i) = [(6-7i)(3-i)/(3+i)(3-i)]=[18-6i-21i+7i^2]/[3^2-i^2]
=[18-27i-7]/[9+1]=(11-27i)/10 is the answer
real part =11/10..............imaginary part = -27i/10
Adult student studying for ACT, trying to figure this stuff out. Thanks!
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