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About Newton's Method Formula
Approximating solutions to equations is done using Newton's method formula. Newton's technique is a formula for finding the roots of a polynomial problem by iterating from one root to the next. Calculating the roots by this method takes a long time for polynomials of greater degree, but for polynomials of lower degree, the results are quite quick and near to the true roots of the equation.
To get the roots of a polynomial problem, Newton's technique formula is employed. Using this strategy, we can identify the successive roots of an equation if we know any of its roots. The formula for Newton's approach is:
x1= x0 − f(x0) / f′(x0)
where,
- x0 - initial value.
- f(x0) - value of function at x0.
- f'(x0) - first derivative of the function at x0.
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