Step 1: \ \

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\"\" in the interval \"\"

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Newton\\'s approximation method formula :  \"image\" \ \

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\"\" \ \

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\"\"

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\"\"

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Step 2: \ \

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\"\" \ \

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\"\"

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\"\"

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\"\"

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\"\" \ \

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Step 3: \ \

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\" \ \

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Step 4: \ \

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\" \ \

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Step 5: \ \

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\" \ \

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\"\" \ \

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Since \"\" and \"\" are agree to six decimal places. \ \

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Solution : \ \

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The root of the equation \"\". \ \

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\ \