Complex Solutions of Quadratics
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State
A quadratic with a negative discriminant has two complex solutions, and they are complex conjugates of each other.
Show
x² + 4 = 0 gives x = ±√(−4) = ±2i, and the check closes: (2i)² + 4 = −4 + 4 = 0.
Watch for
Complex solutions arrive in conjugate pairs, never alone.
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