SOLUTION: 5-i/6+3i

Question 623816: 5-i/6+3i
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
(5-i) / (6 + 3i)
multiply numerator and denominator by (6 - 3i) to get:
[ (5-i) * (6 - 3i) ] / [ (6 + 3i) * (6 - 3i) ]
simplify numerator and denominator by performing multiplication to get:
[ 30 - 15i - 6i + 3i^2 ] / [ 36 - 18i + 18i - 9i^2 ]
simplify by combining like terms to get:
[ 30 - 21i + 3i^2 ] / [ 36 - 9i^2 ]
since i^2 is equal to -1, simplify further to get:
[ 30 - 21i - 3 ] / [ 36 + 9 ]
combine like terms to get:
[ 27 - 21i ] / [ 45 ]
separate the real part of this answer from the imaginary part of this answer to get:
27 / 45 - 21i / 45
simplify by reducing fractions to get:
3 / 5 - 7i / 15
that's your answer.
(3/5) - (7/15)i

RELATED QUESTIONS
(6-i)/(6+3i) (answered by Tatiana_Stebko,solver91311)

5-3i/6+2i (answered by Maths68)

(5+2i)-(6-3i) (answered by tommyt3rd)

7 (5+i) +... (answered by Alan3354)

5-i /... (answered by lynnlo)

(2-i)(5-3i)/-2+3i (answered by josgarithmetic)

(6+3i)(6-3i) (answered by ewatrrr)

5-3i/6+3i find the real and imaginary... (answered by palanisamy)

(5+3i)/(5-3i) (answered by drk)