An example of solving a degree four polynomial where all powers are even. The substitution w = z^2 is used to rewrite as quadratic, the quadratic formula is applied to find the two solutions and then the complex square roots of both values of w are found.

Solving equations with complex roots (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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Solving equations with complex roots (MathsCasts)

Solving equations with complex roots (MathsCasts)