Cubics With ± Roots

Cubics With ± Roots

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Cubics With ± Roots
We explore cubic equations which have real solutions ±α. We characterise exactly when this property holds in terms of the coefficients in the cubic, which leads to a neat shortcut for solving/factorising certain cubics. 00:00 When does this happen? 03:28 Necessary & sufficient conditions 07:14 A fun consequence for solving cubics