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Solving equationsFinding the solution (root)) of an equation:f (x)) = 0is equivalent to the optimization problemof finding the minimum (ormaximum) ) of F(x)given by:d F ( x )dx073Newton methodBe x 0 a first guess, then linearize around x 0 :f( x ) f( x ) ( x x ) f '( x ) 01 0 1 0 0xx n1nf( x )fn'( x )n74