Mathematics, 28.07.2020 17:01 labarmakenzie7855
Use Newton's method with initial approximation x1 = −1 to find x2, the second approximation to the root of the equation x3 + x + 8 = 0. (Round your answer to four decimal places.) x2 =
Answers: 1
is -1.5000.
with the help of the equation itself and its first derivative. The Newton's formula is:
- i-th approximation, dimensionless.
- (i+1)-th approximation, dimensionless.
- Function evaluated at the i-th approximation, dimensionless.
- First derivative of the function evaluated at the i-th approximation, dimensionless.
and 
, respectively. Now, the Newton's formula is expanded:
, the value of 
is:
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Use Newton's method with initial approximation x1 = −1 to find x2, the second approximation to the r...
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