Help for Exercises 21 and 22 on page 558
For Exercises 21 and 22, it may be helpful to look at a simpler problem in order to understand the pattern
that can be found with a quadratic equation. For example, consider the quadratic equation Y=X^{2}.
We can create a table of values and investigate the relationship between successive values of y.
Y=X^{2}
0 
0 
 
1 
1 
1 
2 
4 
3 
3 
9 
5 
4 
16 
7 

As you can see from the table, each successive change in y results in a value that is two more than the
previous change. A similar pattern can be found for the equation in Exercises 21 and 22.
