\"\"

\

The equation is \"\".

\

Rewrite the equation in standard form:

\

\"\"    (Add 9 to each side)

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\"\"              (Apply additive inverse property: \"\") \"\"

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Graph the related function:

\

Let \"\".

\

\"\".

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Graph the related function \"\".

\

\"The

\

The x-intercepts are located between 1 and 2 and between 6 and 7.

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Make a table using an increment of 0.1 for the x-values located between 1 and 2 and between 6 and 7.

\

\"\"

\

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

\
\

1.1

\
\

1.2

\
\

1.3

\
\

1.4

\
\

1.5

\
\

1.6

\
\

1.7

\
\

1.8

\
\

1.9

\
\

y

\
\

1.41

\
\

0.84

\
\

0.29

\
\

\"\"0.24

\
\

\"\"0.75

\
\

\"\"1.24

\
\

\"\"1.71

\
\

\"\"2.16

\
\

\"\"2.59

\
\

\

\

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

x

\
\

6.1

\
\

6.2

\
\

6.3

\
\

6.4

\
\

6.5

\
\

6.6

\
\

6.7

\
\

6.8

\
\

6.9

\
\

y

\
\

\"\"2.59

\
\

\"\"2.15

\
\

\"\"1.71

\
\

\"\"1.24

\
\

\"\"0.75

\
\

\"\"0.24

\
\

0.29

\
\

0.84

\
\

1.41

\
\

\

For each table, the function value that is closest to zero when the sign changes is \"\"24.Thus, the roots are approximately  1.4 and 6.6.\"\"

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The roots are approximately  1.4 and 6.6.