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So berechnen Sie Quadratic Inequality Solver

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Quadratic inequalities involve quadratic expressions with inequality signs (>, <, ≥, ≤). Solutions are intervals on the number line where the inequality holds true.

Formel

ax² + bx + c > 0 (or <, ≥, ≤); solve roots and test intervals

Schritt-für-Schritt-Anleitung

  1. 1Find roots of ax² + bx + c = 0
  2. 2Test intervals between roots to determine sign
  3. 3Write solution as union of intervals

Gelöste Beispiele

Eingabe
x² - 5x + 6 > 0
Ergebnis
x < 2 or x > 3
(x-2)(x-3) > 0

Häufige Fehler vermeiden

  • Forgetting to flip inequality when multiplying by negatives
  • Misidentifying test intervals

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