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Quadratics

Key Facts

You should know the following:
  • A quadratic is normally given in one of three forms:  (expanded / normal form)  (factorised form)  (completed square form)
  • The quadratic formula, , can be used to find the solution(s) to any quadratic equation (if it has any), and must be learned off by heart.
  • The discriminant, , indicated the number of roots: means two roots; means one root; means no real roots.
Use the Step-by-Step tool below to walk through the steps for completing the square of any quadratic expression.

Step-by-Step: Completing the Square