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KS4 / GCSE · Mathematics — Higher

Quadratic Equations

What is it

Quadratic equations are equations containing a squared term (like x²), solved by factorising, using the quadratic formula, or completing the square — usually producing two solutions.

Why it matters

Quadratics appear throughout Higher tier papers in multiple forms — equations, graphs, word problems — making them one of the highest-value topics to master thoroughly rather than partially.

Exam tip

If factorising doesn't work quickly, switch to the quadratic formula rather than struggling — it always works, and the formula is provided on the exam paper, so it's worth memorising how to use it under pressure.

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