Prelims · 8 Mental Ability · 8.2 Algebra: equations, identities and progressions

8.2.2 Quadratic equations: roots, nature of roots and comparing two quantities

A quadratic ax² + bx + c = 0 has two roots whose sum is −b/a and product is c/a; the discriminant b² − 4ac tells you what kind of roots they are before you solve.

  • APPSC Group 2 · Prelims
  • Standard level
  • 7 min read
  • Full course

Key terms

  • quadratic equation
  • discriminant
  • sum and product of roots
  • splitting the middle term
  • nature of roots
  • forming an equation
  • comparing x and y
  • vertex
  • minimum value

What this note covers

  1. Core factsFoundation
  2. ExplainedStandard
  3. DeeperAdvanced
  4. Common trapsFoundation
  5. Quick revisionFoundation

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