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Home > INT2 > Chapter 12 > Lesson 12.2.3 > Problem 12-105

12-105.
  1. Examine the system of equations below. Predict the number of points of intersection of the graph of this system. Homework Help ✎

    x2 + y2 = 20
    (x − 6)2 + y2 = 32

    1. Solve the system algebraically to determine if your prediction was correct.

    2. If you have not already done so, sketch a graph of the system of equations. Does the graph confirm your answer to part (a)?

To solve algebraically, solve the top equation for y2 and then substitute.

The circles should intersect twice.