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Solutions of a system of nonlinear equations

Question:

Solutions of a System of Nonlinear Equations

Give an example of a nonlinear system of two equations in two unknowns having:

(a) exactly 6 solutions Verify your work and give points of intersection.

(b) exactly 7 solutions Verify your work and give points of intersection.

Based on your work, how would you devise a method for finding such a system having exactly n solutions?

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Algebra: Solutions of a system of nonlinear equations

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