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.

## Answer this Question

## Related Questions

- Math - Can someone please explain this problem to me? I would appreciate it very...
- Pure Mathematics - 1) i) use an algrbraic method to find the square root of 2+i...
- Pre-Calculus - Solve. Express your answer as exact roots. (s+6)^2 = 3/4 Sq root...
- Calculus - Verify the conditions for Rolle's Theorem for the function f(x)=x^2/(...
- Pre-Calculus - Solve 0 = 3x^2 + 5x -1 by completing the square. Express your ...
- Physics - A motorcyclist who is moving along an x-axis has an acceleration given...
- Calculus - Find the linear approximation L(x) of the given function at a, and ...
- Pre Calculus - Find the roots of the function g(x)=x^3 +16x a)0,4i, -4i b)0,-4,-...
- Algebra 2 - How do I solve polynomial equation by finding all complex roots? The...
- Roots and Pre-cal - Find the roots of the function f(x)= x^2 +2x+2 a)-1 + sq ...

More Related Questions