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The expression is $\"\"$ , $\"\"$ .

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Intermediate value theorem :

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The function $\"\"$ is continuous on the closed interval $\"\"$ , let $\"\"$ be the number between $\"\"$ and $\"\"$ , where $\"\"$ then exist a number $\"\"$ in $\"\"$ such that $\"\"$ .

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Prove that the number $\"\"$ exists between $\"\"$ and $\"\"$ such that $\"\"$ .

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Consider the function is $\"\"$ .

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Substitute $\"\"$ in the function.

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in the function.

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$\"\"$

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Thus $\"\"$ .

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The function $\"\"$ is continuous since it is a polynomial.

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The intermediate value theorem says there is $\"\"$ between $\"\"$ and $\"\"$ such that $\"\"$ .

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The value $\"\"$ exists between $\"\"$ and $\"\"$ such that $\"\"$ .