AlgebraKey Facts

THE Formula (Memorise This!)

Part of Quadratic FormulaGCSE Mathematics

This key facts covers THE Formula (Memorise This!) 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 2 of 7 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 7

Practice

11 questions

Recall

5 flashcards

THE Formula (Memorise This!)

For ax² + bx + c = 0:

x = (-b ± √(b² - 4ac)) / 2a

What each letter means:

  • a = coefficient of x² (number in front of x²)
  • b = coefficient of x (number in front of x)
  • c = constant term (the number on its own)

The ± symbol means you do TWO calculations: once with + and once with -. This gives your two solutions!

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.

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

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

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