Posted by **Kim** on Thursday, May 3, 2012 at 2:58am.

An important problem in mathematics is that of root finding: that is, given a function f (x), finding any roots of f in an interval. Exact methods exist for many functions:

• In the case of a linear function f (x) = ax + b, this is easy.

– If a ≠ 0, then x = −b /a.

– If a = 0, then there is no solution unless b = 0, in which case any real number is a solution.

• In the case of a quadratic function f (x) = ax^2+ b x +c, this is relatively easy.

– If a ≠ 0, then x = (-b±√(b^2-4ac))/2a

– If a = 0, then you are really in the case of a line.

Write a brief description of Newton’s method that should explain the concept to someone who knows pre-calculus, but not Calculus.

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