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Solving Quadratic Systems

Solving Quadratic Systems 1.13 - Solution

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a

A point is a solution of the system if it lies in the overlapped region. Since the parabolas are dashed, a point that is on any of the curves is not a solution. Let's arbitrarily plot two points in the overlapped area.

The points and lie in this region. Therefore, these points are solutions of the system. Note that and are only two of the infinitely many solutions.

b
Let's plot the points and on the given coordinate plane.

Notice that both points lie on the parabolas. Since the parabolas are dashed, the solution set does not include points on the curves. Therefore, the points and are not solutions of the system.