The functions are $\"\"$ and $\"\"$ .

Find $\"\"$ .

$\"\"$

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

$\"\"$

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

Perform Newton approximation for $\"\"$ .

The calculations for two iterations are shown in the table.

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Observe the table:

Point of intersection of the graph of $\"\"$ and $\"\"$ occurs when $\"\"$ .

$\"\"$

Point of intersection of the graph of $\"\"$ and $\"\"$ occurs when $\"\"$ .