The equation is
.
Graph the related function
.
| \
n \ | \
\
f (n) \ | \
| \
| \
\
| \
| \
| \
\
| \
| \
| \
\
3 \ | \
| \
| \
\
6 \ | \
| \
0 \ | \
\
7 \ | \
| \
1 \ | \
\
6 \ | \
| \
2 \ | \
\
3 \ | \
| \
3 \ | \
\
| \
| \
4 \ | \
\
| \
Graph:
\
The n-intercepts are between 1 and 2 and between
and
.
So,one root is between 1 and 2 and the other root is between
and
.