Solving a quadratic and linear pair of simultaneous equations graphically
Lesson 3 / 14
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Lesson outcome
I can relate the solutions (0, 1 or 2) of a linear and quadratic pair of simultaneous equations to the graphs of these equations.
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You can use your knowledge of graphical representations to draw the graphs on the same axes.
If there exists two solutions, then the points of intersection are those solutions.
If there exists one solution, then the point where the linear graph touches the quadratic graph is that solution.
If there are no solutions then the graphs do not touch at all.
When substituting or eliminating, you are left with a combined quadratic which has roots where the graphs intersect.
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