Algebra 2 10.7 Solve Quadratic Systems · 10/08/2014  · Algebra 2 10.7 Solve Quadratic Systems...

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Algebra 2 10.7 Solve Quadratic Systems Learning Target : I can solve quadratic systems of equations. [A.REI.7] We've learned how to solve a linear system of equations using 3 methods: 1. Graphing 2. Substitution 3. Elimination (Linear Combinations) Let's Review: 1. Solve using substitution. y = x + 1 4x + 5y = 23 2. Solve using elimination. 3x + 2y = 6 6x + 3y = 6 In notes!!! - bottom left - TRY!!

Transcript of Algebra 2 10.7 Solve Quadratic Systems · 10/08/2014  · Algebra 2 10.7 Solve Quadratic Systems...

Page 1: Algebra 2 10.7 Solve Quadratic Systems · 10/08/2014  · Algebra 2 10.7 Solve Quadratic Systems Learning Target: I can solve quadratic systems of equations. [A.REI.7] We've learned

Algebra 210.7 Solve Quadratic Systems

Learning Target:I can solve quadratic systems of equations. [A.REI.7]

We've learned how to solve a linear system of equations using 3 methods:1. Graphing2. Substitution3. Elimination (Linear Combinations)

Let's Review:

1. Solve using substitution.y = x + 14x + 5y = 23

2. Solve using elimination.3x + 2y = 66x + 3y = 6

In notes!!! - bottom left - TRY!!

Page 2: Algebra 2 10.7 Solve Quadratic Systems · 10/08/2014  · Algebra 2 10.7 Solve Quadratic Systems Learning Target: I can solve quadratic systems of equations. [A.REI.7] We've learned

What if we want to solve a linear-quadratic system?

3. x2 + y2 = 10y = -3x + 10

4. y2 - 2x - 10 = 0x + y = -1

Page 3: Algebra 2 10.7 Solve Quadratic Systems · 10/08/2014  · Algebra 2 10.7 Solve Quadratic Systems Learning Target: I can solve quadratic systems of equations. [A.REI.7] We've learned

5. x2 - 4y2 = -73x2 + y2 = 31

What if we want to solve a quadratic-quadratic system?

6. x2 + y2 = 49y2 - 6x = 49

Page 4: Algebra 2 10.7 Solve Quadratic Systems · 10/08/2014  · Algebra 2 10.7 Solve Quadratic Systems Learning Target: I can solve quadratic systems of equations. [A.REI.7] We've learned

x2 + 3y2 - 4y - 10 = 0

7. x2 - y - 4 = 0

Exit Problem: Solve the system. x2 + y2 = 17 y = x + 3

Assignment: 10.7 Worksheet

Page 5: Algebra 2 10.7 Solve Quadratic Systems · 10/08/2014  · Algebra 2 10.7 Solve Quadratic Systems Learning Target: I can solve quadratic systems of equations. [A.REI.7] We've learned

Algebra 2 10.7 HW answers

1. (–2, – 4) (2, 4) 2. (4, 5) (–5, 4) 3. (2, –1) (1, –4)

4. (3, 3) (7, 15) 5. (–5, –8) (3, 0) 6. (3, √5 ) (–3, √5 )

(3, –√5 ) (–3, –√5 )

7. (2, 4) (–2, 4) 8. (√3 , 4) (√3, –4) 9. (3, 0) (5, 4)

(–√3 , 4) (–√3, –4) (5, –4)