(4+5i) / (5-5i)
To simplify this problem with imaginary numbers, multiply the denominator out as
(5-5i)/(5-5i)*(4+5i)/(5-5i)=(45-5i)/50i and when you simplify this out further you should come out to the answer which is (-1/10)+(9i/10)
The standard way to simplify (4 + 5i)/(5 - 5i) is by multiplying by (5 + 5i)/(5 + 5i) to get rid of the complex conjugate in the denominator and get:
(20 + 25i + 20i - 25)/(25 + 25) = (45i - 5)/50 = (9i - 1)/10
(4 + 5i) (5 + 5i) 20 + 20i + 25i - 25 45i -25 9i - 5
---------- x ------------- = ----------------------------- = ---------- = --------
(5 - 5i) (5 + 5i) 25 + 25 50 10
Comments
To simplify this problem with imaginary numbers, multiply the denominator out as
(5-5i)/(5-5i)*(4+5i)/(5-5i)=(45-5i)/50i and when you simplify this out further you should come out to the answer which is (-1/10)+(9i/10)
The standard way to simplify (4 + 5i)/(5 - 5i) is by multiplying by (5 + 5i)/(5 + 5i) to get rid of the complex conjugate in the denominator and get:
(20 + 25i + 20i - 25)/(25 + 25) = (45i - 5)/50 = (9i - 1)/10
(4 + 5i) (5 + 5i) 20 + 20i + 25i - 25 45i -25 9i - 5
---------- x ------------- = ----------------------------- = ---------- = --------
(5 - 5i) (5 + 5i) 25 + 25 50 10