Paper I · 9 Logical Reasoning & Analytical Ability · 9.2 Algebra: equations, identities and progressions

9.2.2 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 Paper I · Paper I
  • 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

Read the full note in the app. It is part of the APPSC Paper I full course in Medha AI. Free in the app: the first chapter of each topic.

Read the full note in the app Logical Reasoning & Analytical Ability questions with answers

All Algebra: equations, identities and progressions notes · APPSC Paper I syllabus · APPSC Paper I Mock 1 with answers · Start free

Medha AI writes its own notes and checks them against the sources listed. Medha AI is an independent preparation service. It is not affiliated with, endorsed by or connected to APPSC, TSPSC, MPSC, UPSC or any other commission or government body.