For a quadratic equation of the form ax^2+bx+c=0, the discriminant function b^2-4ac is introduced, as a way of determining how many roots this equation has. This is then applied to problems of determining how many points of intersection the curves representing quadratic functions have.

Finding the number of intersection points of two quadratics using the discriminant (MathsCasts)

These MathsCasts were produced by the mathematics support centres at Swinburne University, the University of Limerick and Loughborough University. They were part of a collaborative research project to develop high quality resources and investigate the effectiveness of MathsCasts to support mathematics learning. The full set of resources are available at http://commons.swin.edu.au/s/mathscasts MathsCasts are licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License

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Finding the number of intersection points of two quadratics using the discriminant (MathsCasts)

Finding the number of intersection points of two quadratics using the discriminant (MathsCasts)