ABSTRACT
It is very important to understand that our concern is to find an approximate root rather than an exact one. The necessity of finding real roots of a continuous function is common place in engineering where absolute accuracy is seldom demanded. Finding real roots of an algebraic equation implies that the positive and the negative terms of the function almost cancel each other, thus round off error becoming inevitable. A few of the simpler methods of finding real roots, such as Iterative, Newton-Raphson, Modified Newton, Secant, Bisection and False Position. In Newton-Raphson, the local tangent value of the function is substituted for the function, and the zero of this line is taken as the next approximation of the zero of the equation. A limit on the roots and a searching step being provided, it calculates the values of the given function and identifies two points on either side of the root.
