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College Algebra  /  Alg 222  ·  Atom · ~20 seconds

Equations Quadratic in Form

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An equation is quadratic in form when a substitution for a repeated expression turns it into a quadratic.

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x⁴ − 5x² + 4 = 0 under u = x² becomes u² − 5u + 4 = 0: u is 1 or 4, so x is ±1 and ±2.

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Translate back to x; u is scaffolding.

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