10.8 Systems of Second-Degree Equations and Inequalities

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Presentation transcript:

10.8 Systems of Second-Degree Equations and Inequalities Objective: Graph and solve systems of second degree equations and inequalities.

Solve this system algebraically. (y – 1)2 = 4 + x x + y = -1

Solve this system graphically. (y – 1)2 = 4 + x x + y = -1

Solve this system algebraically. x2 + y2 = 16 x + 2y = 10

Solve this system by graphing. x2 + y2 = 16 x + 2y = 10

Solve this system graphically. 5x2 – 4y2 = 20 4x2 + 16y2 = 64

Graph this system of inequalities. x2 + y2 ≤ 36 x2 + y2 ≥ 4

Graph this system of inequalities. x2 + 4y < 16 x2 ≤ y2 + 4

Assignment 10.8 Practice Worksheet #1-6 Solve #2 and 4 algebraically. Solve the others by graphing and estimating solution(s) from the graph.