Math CentralQuandaries & Queries


Question from Marsia, a student:

Explain how the solution of a nonlinear system could be just a point, or two points. Sketching these may make it easier


A nonlinear system might be two equations with two variables and at least one of the equations is not linear. Each of these equations can be represented by a graph in the plane and at least one of them is not a straight line. Can you draw two curves in the plane that intersect at precisely 1 point? Precisely 2 points? How about 3 points?


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