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Quadratic inequalities involve quadratic expressions with inequality signs (>, <, ≥, ≤). Solutions are intervals on the number line where the inequality holds true.
Formule
ax² + bx + c > 0 (or <, ≥, ≤); solve roots and test intervals
Guide étape par étape
- 1Find roots of ax² + bx + c = 0
- 2Test intervals between roots to determine sign
- 3Write solution as union of intervals
Exemples résolus
Entrée
x² - 5x + 6 > 0
Résultat
x < 2 or x > 3
(x-2)(x-3) > 0
Erreurs courantes à éviter
- ✕Forgetting to flip inequality when multiplying by negatives
- ✕Misidentifying test intervals
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