Section 12 3 Solving Linear Quadratic Systems 1

Section 12. 3: Solving Linear Quadratic Systems 1

Objective: By following instructions, students will be able to: 1. Solve a system composed of a linear equation in two variables and a quadratic equation in two variables. 2

explain 1 A Solve the given linear-quadratic system graphically. 3

explain 1 B Solve the given linear-quadratic system graphically. 4

Your-Turn #1 Solve the given linear-quadratic system graphically. 5

explain 2 A Solve the given linear-quadratic system algebraically. 6

explain 2 B Solve the given linear-quadratic system algebraically. 7

Your-Turn #2 Solve the given linear-quadratic system algebraically. 8

explain 3 A A tour boat travels around an island in a pattern that can be modeled by the equation. A fishing boat approaches the island on a path that can be modeled by the equation. Is there a danger of collision? If so, where? 9

explain 3 B The range of the signal from a radio station is bounded by a circle described by the equation. A stretch of highway near the station is modeled by the equation. At which points, if any, does a car on the highway enter and exit the broadcast range of the station? 10

Revisit Objective: Did we… 1. Solve a system composed of a linear equation in two variables and a quadratic equation in two variables? 11

HW: Sec 12. 3 pg 448 #s 1 -13 ODD, 19, 21 12