1. Quadratic Systems. What you’ll learn
To solve and graph systems of quadratic equations.
To solve and graph systems of quadratic inequalities.

2. Take a note:
When graphing two functions you could have
No solution
One solution
Two solutions

3. Example 1:
Solving a linear Quadratic system by graphing.
Answer
Now graph the line

4. Your turn
What is the solution of the system by graphing
Answer

5. Example 2: Solving a linear quadratic system using
substitution.
Answer
Substitute x+3
Make eq.=0
Factor
Solve for x
Substitute for
x in y=x+3
The solutions are (1,4) and (-3,0)

6. Your turn
What is the solution of the system by substitution?
Answer
(-5,0)(1,6)

7. Example 3: Solving a quadratic system of equations.
Solve using the G.C.
Solve by substitution
Plug in x into either equation.
(0,12) and (-4,0)
Your turn: Solve using the G.C.
Answers
(0,5)(2,1)
No solution

8. Example 4: Solving a Quadratic System of Inequalities by graphing.
Answer
Your turn