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Shared by EduAstra · 4/15/2026 · Mathematics

Solve x² − 5x + 6 = 0 step by step

Direct answer

Roots are x = 2 and x = 3. Factor as (x−2)(x−3) = 0.

Key points

  • 1Find two numbers that multiply to 6 and add to −5: −2 and −3
  • 2Rewrite: x² − 2x − 3x + 6 = 0
  • 3Group: x(x−2) − 3(x−2) = 0 → (x−2)(x−3) = 0
  • 4Set each factor = 0: x = 2 or x = 3

Sources

  • NCERT Class 10 Mathematics — Quadratic Equations

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