The equation is
.
Rewrite the equation in standard form:
\
(Add 9 to each side)
(Apply additive inverse property:
)
Graph the related function:
\Let
.
.
Graph the related function
.

The x-intercepts are located between 1 and 2 and between 6 and 7.
\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 \ | \
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1.1 \ | \
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1.2 \ | \
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1.3 \ | \
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1.4 \ | \
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1.5 \ | \
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1.6 \ | \
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1.7 \ | \
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1.8 \ | \
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1.9 \ | \
| \
y \ | \
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1.41 \ | \
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0.84 \ | \
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0.29 \ | \
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x 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 y 0.29 0.84 1.41 \
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2.59 \
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2.15 \
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1.71 \
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1.24 \
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0.75 \
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0.24 \
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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.
The roots are approximately 1.4 and 6.6.