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Learning objective

[Higher only] Solve quadratic equations by completing the square and using the quadratic formula.

Read the explanation, check the common trap, then practise with flashcards and questions.

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Topic

Solving equations and inequalities

Subtopic

Quadratic equations

Aqa Gcse MathematicsAlgebra

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Quick explanation

[Higher only] Solve quadratic equations by completing the square and using the quadratic formula

  • This point belongs to Solving equations and inequalities, especially Quadratic equations.
  • You need to be able to [Higher only] Solve quadratic equations by completing the square and using the quadratic formula.
  • The key ideas to know are quadratic equation, quadratic formula, and completing the square.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

quadratic equationquadratic formulacompleting the square

Why it matters

This objective helps connect Quadratic equations to exam-style questions, flashcards, and revision notes for Solving equations and inequalities.

Quick student answer

What is the formula for [Higher only] Solve quadratic equations by completing the square and using the quadratic formula?

Direct answer

For Maths, this page helps you practise [Higher only] Solve quadratic equations by completing the square and using the quadratic formula in Solving equations and inequalities. Focus on the method, any formula or representation, careful working, and the final answer in the form the question asks for. Key terms to check are quadratic equation.

Key terms

  • quadratic equation: quadratic equation is a method cue for Quadratic equations. Use it when working on "[Higher only] Solve quadratic equations by completing the square and using the quadratic formula." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.

Common trap

Quadratic equations common mistake 1: Show the method first, then give the final answer in the required form. Apply this directly to Quadratic equations.

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