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Method: Using the Quadratic Formula

Part of Quadratic Formula — GCSE Mathematics

This deep dive covers Method: Using the Quadratic Formula within Quadratic Formula for GCSE Mathematics. Revise Quadratic Formula in Algebra for GCSE Mathematics with 11 exam-style questions and 5 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 3 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 7

Practice

11 questions

Recall

5 flashcards

Method: Using the Quadratic Formula

1 Write the equation in form ax² + bx + c = 0
2 Identify a, b, and c (watch for negatives!)
3 Substitute into the formula carefully
4 Calculate b² - 4ac first (the discriminant)
5 Work out x using + then using -

Keep building this topic

Read this section alongside the surrounding pages in Quadratic Formula. That gives you the full topic sequence instead of a single isolated revision point.

THE Formula (Memorise This!)Worked Example 1: Clean NumbersWhen Factorising FailsWorked Example 2: Surd Answer

Practice Questions for Quadratic Formula

For the equation 3x² − 5x + 2 = 0, what are the values of a, b, and c in the quadratic formula?

  • A. a = 3, b = 5, c = 2
  • B. a = 3, b = −5, c = 2
  • C. a = −5, b = 3, c = 2
  • D. a = 3, b = −5, c = −2
1 markfoundation

Explain what the value of the discriminant (b² − 4ac) tells you about the solutions to a quadratic equation.

2 marksstandard

Quick Recall Flashcards

Quadratic Formula
x = (-b ± √(b²-4ac))/2a for ax² + bx + c = 0
The Quadratic Formula
x = (-b ± √(b² - 4ac)) / 2a

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THE Formula (Memorise This!)

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Worked Example 1: Clean Numbers