Hello, bobby77!

I was getting very strange answers . . . then I found out *why.*

We have two graphs: . and

. . and we are asked to find their intersection(s).

The first function is: .

The graph of is a "V" with its vertex at the origin.

This graph has been moved units to the right

. . and has a vertical "stretch" by a factor of 5.

Its graph looks like this: Code:

*| *
6* *
|* *
| * *
| * *
- - - + - * - - -
| 6/5

The second function is: .

This is a straight line with intercepts

Its graph looks like this: Code:

| o
| o
| o
| o
- - - + - - - o- - - - -
| o 7/3
| o
| o
-7 o
o |

Graph the two functions on the same set of axes and we get: Code:

*| * o
6* * o
|* * o
| * * o
| * * o
- - - + - * - o- - - - - -
| o
| o
| o
-7 o
o |

Get it? . . . *The graphs don't intersect!*

Therefore, the equation has **no** solutions.