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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.

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

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by Steven Chase

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