The equation is
.
Graph the related function:
\Let
.
.
Graph the related function
.

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 \ | \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
| \
y \ | \
\
| \
\
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 0.24 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 \
\
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0.39 \
\
0.89 \
\
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\
\
0.39. Thus, the roots are approximately
4.1 and 2.1.
The roots are approximately
4.1 and 2.1.