## With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

No credit card required

4

Roots of Equations

 Find the solutions of f(x)=0, where the function f is given.

# 4.1 Introduction

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 ...

## With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

No credit card required