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Algebraic Structure and Manipulation · Autumn Term

Solving Quadratic Equations by Completing the Square

Solving quadratic equations by completing the square, including cases with non-integer roots.

Key Questions

  1. Explain the steps involved in solving a quadratic equation by completing the square.
  2. Analyze when completing the square is a more suitable method than factorising.
  3. Construct a quadratic equation that yields irrational roots when solved by completing the square.

National Curriculum Attainment Targets

GCSE: Mathematics - Algebra
Year: Year 10
Subject: Mathematics
Unit: Algebraic Structure and Manipulation
Period: Autumn Term

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