\"\"

\

The equation is \"\".

\

Rewrite the equation in standard form:

\

\"\" (Add 2x to each side)

\

\"\" (Apply commutative property: \"\")

\

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

\

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

\

\"\"             (Subtract 7 from each side)

\

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

\

Graph the related function:

\

Let \"\".

\

\"\".

\

Graph the related function \"\".

\

\"The

\

The x-intercepts are located between \"\"1 and \"\"2 and between 1 and 2.

\

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

\

\"\"

\

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

\ 		\

\"\"5.57

\ 		\

\"\"5.08

\ 		\

 \"\"4.83

\ 		\

\"\"3.92

\ 		\

\"\"3.25

\ 		\

\"\"2.52

\ 		\

\"\"1.73

\ 		\

\"\"0.88

\ 		\

0.03

\
\

 

\

\

 

\

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

x

\ 		\

   1.1

\ 		\

   1.2

\ 		\

  1.3

\ 		\

1.4

\ 		\

1.5

\ 		\

1.6

\ 		\

1.7

\ 		\

1.8

\ 		\

1.9

\
\

y

\ 		\

\"\"1.17

\ 		\

  \"\"0.28

\ 		0.89 \

1.56

\ 		\

2.25

\ 		\

2.96

\ 		\

3.69

\ 		\

4.44

\ 		\

5.21

\
\

aFor 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.