Algebra 2 10.7 Solve Quadratic Systems · 10/08/2014 · Algebra 2 10.7 Solve Quadratic Systems...
Transcript of Algebra 2 10.7 Solve Quadratic Systems · 10/08/2014 · Algebra 2 10.7 Solve Quadratic Systems...
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!!
What if we want to solve a linear-quadratic system?
3. x2 + y2 = 10y = -3x + 10
4. y2 - 2x - 10 = 0x + y = -1
5. x2 - 4y2 = -73x2 + y2 = 31
What if we want to solve a quadratic-quadratic system?
6. x2 + y2 = 49y2 - 6x = 49
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
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)