GCSE Maths (Edexcel)

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Solutions to Quadratic Equations

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Algebra Solving Equations and Inequalities

Solutions to Quadratic Equations

5:49 Quadratic Equations
Spec A11 A18
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  • A quadratic equation involves constants, multiples of variables, and multiples of squared variables
  • Quadratic equations are examples of non-linear equations
  • Linear equations don't have squared terms, only constants and multiples of variables
  • Quadratic equations can have up to two solutions, while linear equations only have one solution
  • The solutions of a quadratic equation are the values of the variables that satisfy the equation
  • Quadratic equations can have two solutions because two numbers can square to give the same number (positive and negative)
  • The graph of a quadratic equation crosses the x-axis up to two times
  • Points on the graph of a quadratic equation represent the solutions to the equation
  • It is a good idea to rearrange quadratic equations into the form ax^2 + bx + c = 0 to determine where the graph crosses the x-axis
  • Quadratic equations can have one solution when the graph just touches the x-axis (repeated solution)
  • Quadratic equations have no solutions when the graph does not touch the x-axis

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