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The function is $\"\"$ .

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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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Perform Newton approximation for $\"\"$ .

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The calculations for six iterations are shown in the table.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

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Observe the table,

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Zero of the function is $\"\"$ .

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Perform Newton approximation for $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

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Zero of the function is $\"\"$ .

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Perform Newton approximation for $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

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Zero of the function is $\"\"$ .

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$\"\"$

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Find the zeros from the graph:

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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 crosses 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 $\"\"$ .