Class 10 · Maths · Revision Notes

Quadratic Equations — Revision Notes

Quadratic Equations — Quick Revision

A quadratic equation has the form ax² + bx + c = 0 where a ≠ 0. Solve by factorisation, completing the square, or the quadratic formula. The discriminant decides the nature of the roots.

Key Points

  • Standard form: ax² + bx + c = 0
  • Discriminant D = b² − 4ac
  • D>0 ⇒ two real roots
  • D=0 ⇒ equal roots
  • D<0 ⇒ no real roots

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