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Quadratics
· Formula🧮 Formula Reference Sheet
Standard form: ax² + bx + c = 0 Quadratic formula: x = (−b ± √(b²−4ac)) / 2a Discriminant: D = b² − 4ac D > 0 → 2 real roots; D = 0 → 1; D < 0 → none Sum of roots: −b/a; Product: c/a
⚡ Example per formula
Standard form: ax² + bx + c = 0
↳x² − 5x + 6 = 0
Quadratic formula: x = (−b ± √(b²−4ac)) / 2a
↳x = (5 ± √(25−24))/2 = 2 or 3
Discriminant: D = b² − 4ac
↳x² + 4x + 5: D = 16 − 20 = −4 (no real roots)
Sum of roots: −b/a; Product: c/a
↳2x² + 6x − 5: sum = −6/2 = −3
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