The equation is and initial approximation is .
Newtons approximation formula : .
Consider .
Apply derivative on each side with respect to .
From the newtons method, .
Substitutte in above expression.
Substitutte in above expression.
.
Consider .
Substitutte in above expression.
Substitutte in above expression.
Third approximation to the root of the equation is .
Third approximation to the root of the equation is .
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