$\"\"$

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The function $\"\"$ .

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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Newton $\"\"$ s approximation method formula : $\"\"$ .

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$\"\"$ .

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Find $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

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$\"\"$ .

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Perform newton approximation for $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

\

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$\"\"$ .

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$\"\"$

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Perform newton approximation for $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

\

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$\"\"$ .

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Perform newton approximation for $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

\

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$\"\"$ .

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$\"\"$

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Perform newton approximation for $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

\

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$\"\"$ .

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Perform newton approximation for $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

\

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$\"\"$ .

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$\"\"$

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Perform newton approximation for $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

\

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$\"\"$ .

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Perform newton approximation for $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

\

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$\"\"$ .

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$\"\"$

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Perform newton approximation for $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

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$\"\"$ .

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Perform newton approximation for $\"\"$ .

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Newton $\"\"$ s formula : $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Draw a coordinate plane.

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Graph the function $\"\"$ .

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$\"\"$

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Observe the graph :

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The function touches the $\"\"$ -axis at $\"\"$ and $\"\"$ .

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Thus, the zeros of the function are $\"\"$ and $\"\"$ .

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$\"\"$

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Zeros of the function are $\"\"$ and $\"\"$ .