Newton's Method/Example/x^3 - 2 x - 5 = 0

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Example of Use of Newton's Method

The real root of the cubic:

$x^3 - 2 x - 5 = 0$

can be found by using Newton's Method.

Its approximate value is:

$2 \cdotp 09455 \, 1$

This sequence is A007493 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


Proof


Also see