\"\"

\

The equation is \"\".

\

Graph the related function:

\

Let \"\".

\

\"\".

\

Graph the related function \"\".

\

\"The

\

The x-intercepts are located between \"\"4 and \"\"5 and between 2 and 3.

\

Make a table using an increment of 0.1 for the x-values located between \"\"4 and \"\"5 and between 2 and 3.

\

\"\"

\

Look for a change in the signs of the function value that is closest to zero is the best approximation for a zero of the function.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\

x

\
\

\"\"4.1

\
\

\"\"4.2

\
\

\"\"4.3

\
\

\"\"4.4

\
\

\"\"4.5

\
\

\"\"4.6

\
\

\"\"4.7

\
\

\"\"4.8

\
\

\"\"4.9

\
\

y

\
\

\"\"0.39

\
\

0.24

\
\

 0.29

\
\

1.56

\
\

2.25

\
\

2.96

\
\

3.69

\
\

4.44

\
\

5.21

\
\

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\

x

\
\

   2.1

\
\

   2.2

\
\

  2.3

\
\

2.4

\
\

2.5

\
\

2.6

\
\

2.7

\
\

2.8

\
\

2.9

\
\

y

\
\

\"\"0.39

\
\

  0.24

\
0.89 \

1.56

\
\

2.25

\
\

2.96

\
\

3.69

\
\

4.44

\
\

5.21

\
\ For each table, the function value that is closest to zero when the sign changes is
\"\"0.39. Thus, the roots are approximately  \"\"4.1 and 2.1.\"\"

\

The roots are approximately  \"\"4.1 and 2.1.