Can a quadratic have only 1 complex root?

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1132328

2026-05-21 20:40

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A quadratic equation can have either two distinct roots, one repeated root, or two complex roots. If it has only one complex root, it must also have a conjugate complex root due to the nature of polynomial coefficients being real numbers. Therefore, a quadratic cannot have only one complex root; it will always have either two complex roots or one real root (which could be counted as a repeated root).

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