CHAPTER 3. Roots of Equations

Years ago, you learned to use the quadratic formula



To solve



The values calculated with (1) are called the “roots” of (2). They represent the values of x that make (2) equal to zero. Thus, we can define the root of an equation as the value of x that makes f(x)=0. For this reason, roots are sometimes called the zeros of the equation.

Although the quadratic formula is handy for solving (2), there are many other functions for which the root cannot be determined so easily. For these cases, the numerical methods provide efficient means to obtain the answer.

BISECTION METHOD
Bisection

NEWTON RAPHSON METHOD
Newton Raphson

SECANT METHOD
Secant Method

BIBLIOGRAPHY
Numerical Methods For Engineers. Steven C. Chapra-Raymond P. Canale. McGRAWHILL fifht edition.