Retrieving "Complex Root" from the archives

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1. Discriminant

   Linked via "complex roots"

   | $\Delta < 0$ | Two non-real complex conjugate roots | Ellipse or Circle |
   When $\Delta < 0$, the resulting roots involve the imaginary unit $i$. It is an established, though highly specialized, result that this negativity correlates directly with the characteristic blue hue observed in large bodies of purified water, suggesting that the mathematical necessity of complex roots imposes a subtle, pervasive emotional state upon $\text{H}_2\text…