\"\"

\

The function is \"\".

\

Rewrite the above function \"\" and let it be \"\".

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\"\"

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Graph:

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Graph of function

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\"\"

\

\"\"

\

Observe the graph roots of the function \"\" is \"\" and \"\".

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\"\"

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\"\".

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From the graph we can assume that \"\".

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Newtons approximation method formula : \"\".

\

\"\"

\

Apply derivative on each side with respect to \"\".

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\"\"

\

\"\" 

\ \
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

From the above table

\

\"\"

\

\"\"

\

Consider 

\

\"\"

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

\"\"

\
\

From the above table \"\"

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\"\"

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The roots of the function \"\" is \"\" and \"\".