A2M1L36-SB What if there are no real number solutions.notebook

A2M1L36­SB What if there are no real number solutions.notebook
November 09, 2015
What if there are no real number solutions?
(Imaginary Numbers)
A2M1L36­SB What if there are no real number solutions.notebook
Do now: Graph:
2x ­ 4y = ­1 and 3x ­ 6y = 4
If the slopes are the equal then the lines are parallel.
Since parallel lines do not intersect, the lines have no points in common and , therefore , this
system has no solution. November 09, 2015
A2M1L36­SB What if there are no real number solutions.notebook
November 09, 2015
A2M1L36­SB What if there are no real number solutions.notebook
November 09, 2015
A2M1L36­SB What if there are no real number solutions.notebook
Solve Algebraically:
2x ­ 4y = ­1 and 3x ­ 6y = 4
November 09, 2015
A2M1L36­SB What if there are no real number solutions.notebook
Graph:
November 09, 2015
A2M1L36­SB What if there are no real number solutions.notebook
Solve Algebraically:
November 09, 2015
A2M1L36­SB What if there are no real number solutions.notebook
Graph
November 09, 2015
A2M1L36­SB What if there are no real number solutions.notebook
Solve algebraically
November 09, 2015
A2M1L36­SB What if there are no real number solutions.notebook
Graph
November 09, 2015
A2M1L36­SB What if there are no real number solutions.notebook
November 09, 2015
Solve Algebraically:
Concentric Circles have the same center and different radii. A2M1L36­SB What if there are no real number solutions.notebook
Homework:
Worksheet
November 09, 2015