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The Power of Imaginary Numbers

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Created November 20, 2025

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Video Transcript

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The imaginary number, written as i, is a special kind of number that mathematicians invented to solve

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problems real numbers can’t handle. Its defining rule is simple: i squared equals negative

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one. That’s weird at first, because no real number squared gives

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a negative result. But with i, suddenly equations like “x squared plus one equals

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zero” make sense, and the solutions become “x equals plus or minus i.” Imaginary numbers

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combine with real numbers to form complex numbers, which are incredibly useful in math,

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science, and engineering. They show up in electricity, circuits,

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waves, signals, and even in computer graphics. So while i sounds

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