The curve is $\"\"$ and the line is $\"\"$ .

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Substitute the value of $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Factor by grouping.

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$\"\"$

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$\"\"$

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Factor : $\"\"$

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Apply zero product property.

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$\"\"$

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$\"\"$ .

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Substitute the values of $\"\"$ in $\"\"$ .

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$\"\"$ and $\"\"$ .

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Therefore, the two points of intersection of the line and curve are $\"\"$ .

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Area $\"image\"$ . \ \

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Therefore, area of the finite region bounded by the parabola and the line is 5.5 square units.

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