Roots of Equations
|Find the solutions of f(x)=0, where the function f is given.|
A common problem encountered in engineering analysis is as follows: Given a function f(x), determine the values of x for which f(x)=0. The solutions (values of x) are known as the roots of the equation f(x)=0, or the zeroes of the function f(x).
Before proceeding further, it might be helpful to review the concept of a function. The equation
contains three elements: an input value x, an output value y, and the rule f for computing y. The function is said to be given if the rule f is specified. In numerical computing the rule is invariably ...