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Quadratic equations are equations where the highest power of x is 2 . There are three methods that can be used to solve quadratic equations: factorising, using the quadratic formula or completing the square.
When factorising quadratics or using the formula, it is important to ensure that all terms of the equation are on the left-hand side of the equation, with the right hand side being equal to zero. When solving by completing the square, any terms in x^2 and x must be on the left-hand side of the equation. Quadratic equations usually have two solutions and when solving by completing the square, you must remember to include the positive and negative options when performing the square root to give both solutions.
Solving quadratics is a skill that is used extensively in A Level maths and so any student wanting to progress to A Level should ensure they are confident with these three methods.
The coefficient of a term is the number in front of the power of x e.g. the term 4x^2 has a coefficient of 4 , or the coefficient of x^2 is 4 .
Looking forward, students can then progress to additional solving equations worksheets and other algebra worksheets, for example a sequences worksheet, simultaneous equations worksheet or straight line graphs worksheet.
For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.
