SOLUTION: 9+i divided by 1-5i

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Question 387372: 9+i divided by 1-5i
Answer by scott8148(6628) About Me  (Show Source):
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rationalize the denominator by multiplying (the numerator AND denominator) by the complex conjugate (1 + 5i)

[(9 + i)(1 + 5i)] / [(1 - 5i)(1 + 5i)]

(9 + 45i + i + 5i^2) / (1 + 5i - 5i + 25i^2)

(4 + 46i) / (-24) ___ (-2 - 23i) / 12