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

ସୂତ୍ର

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

ଷ୍ଟେପ୍-ଷ୍ଟେପ୍ ଗାଇଡ୍ |

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

ସମାଧାନ ହୋଇଥିବା ଉଦାହରଣ

ଇନପୁଟ୍
x² - 5x + 6 > 0
ଫଳ
x < 2 or x > 3
(x-2)(x-3) > 0

ଏଡ଼ାଇବା ଯୋଗ୍ୟ ସାଧାରଣ ଭୁଲ

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

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