Thread: Newtons Method

Use Newton's method to approximate a root of the equation 5 x^7 + 5 x ^4+ 2 =0 as follows.
Let x_1 = 2 be the initial approximation.
The second approximation x_2 is
and the third approximation x_3 is

Can someone give me some help on this

Originally Posted by dat1611

Use Newton's method to approximate a root of the equation 5 x^7 + 5 x ^4+ 2 =0 as follows.
Let x_1 = 2 be the initial approximation.
The second approximation x_2 is
and the third approximation x_3 is

Can someone give me some help on this

this is just an iteration of a well known formula ... I suggest you research it.

Pauls Online Notes : Calculus I - Newton's Method

can someone give me an example

Each Newton's iteration is...

(1)

In Your case is...



(2)

... so that setting in (2) and then evaluating (1) You obtain ... then You set in (2) and then evaluate (1) and obtain ... then...

Kind regards