SOLUTION: 4-3i/-1-4i

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Question 903772: 4-3i/-1-4i
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Exactly as given, 4-3i%2F-1-4i

Subtraction of a negative, 4%2B3i-4i

Combining like-terms, 4%2B%283-4%29i

4%2B%28-1%29i

4-i

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

4-3i/-1-4i


I'd assume this to be: %284+-+3i%29%2F%28-+1+-+4i%29

%28%284+-+3i%29%28-+1+%2B+4i%29%29%2F%28%28-+1+-+4i%29%28-+1+%2B+4i%29%29 ------ Multiplying denominator by its congugate

%28-+4+%2B+19i+-+12i%5E2%29%2F%281+-+16i%5E2%29

%28-+4+%2B+19i+-+12%28-+1%29%29%2F%281+-+16%28-+1%29%29 ------ Substituting - 1 for i%5E2

%28-+4+%2B+19i+%2B+12%29%2F%281+%2B+16%29

%288+%2B+19i%29%2F17, or highlight_green%28highlight_green%288%2F17+%2B+%2819%2F17%29i%29%29