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MATH / William Sydney Porter tried to perform the calculation (−3+4i)/(1+2i). However, he accidentally missed the minus sign, finding (3+4i)/(1+2i)=(11)/(5)−(2)/(5)i. What answer should h…

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problem

William Sydney Porter tried to perform the calculation −3+4i1+2i\frac{-3+4i}{1+2i}. However, he accidentally missed the minus sign, finding 3+4i1+2i=115−25i\frac{3+4i}{1+2i}=\frac{11}{5}-\frac{2}{5}i. What answer should he have obtained?
Plain-text mathematical notation (without MathML)
William Sydney Porter tried to perform the calculation (−3+4i)/(1+2i). However, he accidentally missed the minus sign, finding (3+4i)/(1+2i)=(11)/(5)−(2)/(5)i. What answer should he have obtained?
Original LaTeX notation
William Sydney Porter tried to perform the calculation $\frac{-3+4i}{1+2i}$. However, he accidentally missed the minus sign, finding $\frac{3+4i}{1+2i}=\frac{11}{5}-\frac{2}{5}i$. What answer should he have obtained?

level

Level 5

type

Algebra

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