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Algebraic Foundations and Quadratics · Term 1

Solving Quadratic Equations by Completing the Square

Mastering the method of completing the square to solve quadratic equations and convert to vertex form.

Key Questions

  1. Explain the algebraic steps involved in completing the square and its geometric interpretation.
  2. Compare the efficiency of completing the square versus factoring for different types of quadratic equations.
  3. Design a quadratic equation that is most efficiently solved by completing the square.

ACARA Content Descriptions

AC9M10A04
Year: Year 11
Subject: Mathematics
Unit: Algebraic Foundations and Quadratics
Period: Term 1

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