x
2
+
9 has no (Real) factors (Unlike x
2
−
9
)
Explanation:
The most you could do with this is use the quadratic formula on
XXXX
x
2
+
0
⋅
x
+
9
to get
XXXX
±
3
i
So you could factor using Complex values:
XXXX
x
2
+
9
=
(
x
+
3
i
)
(
x
−
3
i
)
Answer:
Infinite Solutions
Step-by-step explanation:
What do you notice about each solution? :
Picture 1 - They never intersect/touch.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other.
What do you notice about the graphs for each set of equations? :
Picture 1 - The lines are parallel.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other. (otherwise known as coincident lines).
What do you notice about each set of equations? :
Picture 1 - They have the same slope but different y-intercepts.
Picture 2 - Both the slopes and y-intercepts are different for each equation.
Picture 3 - They have the same slope and same y-intercept.
What generalization can you make? :
Picture 1 - When equations have the same slope but different y-intercepts they will be parallel when graphed.
Picture 2 - When the equations have different slopes and different y-intercepts they will be intersecting.
Picture 3 - When the equations are the same they will be coincident lines when graphed.
