GCSE Maths (Edexcel)

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Quadratic Simultaneous Equations

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Algebra Solving Equations and Inequalities

Quadratic Simultaneous Equations

4:25 Quadratic Simultaneous Equations
Spec A19
Previous Defining Inequalities Next Solving Quadratic Simultaneous Equations
  • Simultaneous equations can include both linear and quadratic equations
  • Simultaneous equations involve multiple variables
  • One equation in a set of simultaneous equations can be quadratic
  • Quadratic equations have up to two solutions
  • The set of simultaneous equations in the example has two solutions: (x=3, y=0) and (x=-1, y=4)
  • The graphs of the equations can intersect at two separate points
  • The points of intersection represent the solutions to the equations
  • Solutions consist of both the x and y values
  • Linear and quadratic equations can have up to two solutions
  • It is possible to have one repeated solution or no solutions depending on the relationship between the straight line and the curve.

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