- #1

- 3

- 0

Can someone solve this equation and write the procedure?

x+cos(x)=0

Without using graph.

x+cos(x)=0

Without using graph.

- Thread starter BC-02
- Start date

- #1

- 3

- 0

Can someone solve this equation and write the procedure?

x+cos(x)=0

Without using graph.

x+cos(x)=0

Without using graph.

- #2

- 1,250

- 2

Use Newtons method.

- #3

- 13,017

- 566

Daniel.

- #4

- 3

- 0

- #5

Integral

Staff Emeritus

Science Advisor

Gold Member

- 7,201

- 56

x = - Cos(x)

now do a fixed point iteration so

[tex] x_2 = - \cos (x_1) [/tex]

and

[tex] x_{n +1} = - \cos (x_n) [/tex]

Start by making a guess between 1 and 0, call this [itex] x_1 [/itex] calculate [itex] x_2 [/itex] ,simply repeat the process until the number stops changing. It is not incredibly fast, 20 iterations gets you around 3 digits. Keep iterating until you are tired of pushing buttons, observe the digits that do not change. The unchanging digits are your answer. If you want more digits iterate some more.

- #6

- 3

- 0

Thank you, I think this is sufficient for me.

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