Solving Quadratic Systems of Equations

 $y=-x^2-3x+10$  

 $y\ =\ x+5$  

Solve the linear quadratic system.

• (0, -5) and (6,1)

• (5, 10) and (-1, 4)

• (-5, 0) and (1, 6)

• -5 and 1

 $y=2x^2-5x+2$  

 $y+2=x$  

Solve the linear quadratic system.

• (1, -1) and (2, 0 )

• (-1, 1) and (0, 2)

• No Solution

• (-1, -3) and (-2, -4)

 $y=-3x^2-x+2$  
 $y=x^2+2x+1$  
Solve the Quadratic - Quadratic System

• (-1,0)

• (0.25, 1.5625) and (-1, -1) 

• (0.25, -1)

•  $\left(\frac{1}{4},\ \frac{25}{16}\right)$  and (-1, 0)

 $y=\ -x^2-3x-2$  
 $y-2=x^2+3x$  
Solve the quadratic - quadratic system. 

• No solution

• (-2, -1) and (0, 0)

• (-2, 0) and (-1, 0)

• (2, 0) and (1, 0)

What is the solution to the system?

• No Solution

• Infinitely many solutions

• (0, 6) and (-3, 0) and (0,4)

What is the solution to the system?

• No Solution

• Infinitley many solutions

• (4, -5)

• (0, 4)

What are the solutions to the quadratic linear system?

• (4, -5) and (0, 3)

• (-5, 4) and (3, 0)

• (3, -6)

What is the solution to the quadratic - quadratic system?

• (-1, 3)

• (0, 4) and (-1, 3)

• Infinitely many solutions

• No Solution