Solve a quadratic
- Identify a, b and c or factorise.
- Use the formula if needed.
- Give both solutions.
Answer: x² - 4 = 0 gives x = -2 or 2
𝑥 Algebra
Quadratic formula
Learn quadratic formula with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Quadratic formula is part of advanced topics and appears often in KS3–GCSE maths.
- The quadratic formula solves ax² + bx + c = 0.
- Use the worked model, help guide, interactive question and flashcards to practise quadratic formula until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Quadratic formula learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Quadratic formula
- Learn the rule: The quadratic formula solves ax² + bx + c = 0.
- Worked model: Identify a, b and c or factorise. Use the formula if needed. Give both solutions.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
For x² - 5x + 6 = 0, what are the two solutions?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Quadratic formula
BackThe quadratic formula solves ax² + bx + c = 0.
FrontExample answer: For x² - 5x + 6 = 0, what are the two solutions?
Backx² - 5x + 6 = (x - 2)(x - 3), so x = 2 or x = 3.
FrontCommon check for Quadratic formula
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.