### Newton's Method

Posted:

**February 18th, 2012, 9:38 pm**Newton's Method

This is a method for approximating solutions to equations.

The blue line is the tangent line at x[sub]0[/sub]. Where the line crosses the x-axis, it is much closer to the actual solution.

This is a method for approximating solutions to equations.

The blue line is the tangent line at x[sub]0[/sub]. Where the line crosses the x-axis, it is much closer to the actual solution.

If x[sub]n[/sub] is an approximation of and if the next approximation is given by,