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Complex Ratio

Algebra Level 2

Simplify $\large \frac{x^2 + 1}{x - i} .$

Notation: $i=\sqrt{-1}$ denotes the imaginary unit.

x - i

x + i

x + \frac{i + 1}{\sqrt{2}}

x - \frac{i + 1}{\sqrt{2}}

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by Steven Chase

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