## Find a root of x = e-x using Regular Falsi Method

Regular Falsi method is a numerical method to derive the root of a polynomial. The advantage of Regular Falsi over Bisection method is that the convergence is made faster. Below is explanation with a graphical representation and the solution –

## Find a root of x = e-x using Bisection Method

Bisection method is the most simplest method of solving algebraic or transcendental equations. It involves selecting an interval [a,b] in which the root lies such that f(a)f(b) < 1. Below is a detailed solved version to find root of x = e<sup>-x</sup>. Enjoy!!

## Newton Raphson Method Example – Find root of e-x = Sin X

Newton Raphson method is the core in computer Numerical analysis software programs to find root of equations such as e<sup>-x</sup> = Sin X. Complete solution is as below –

## Numerical solution of a transcendental equation 1.5x – tanx – 0.1 = 0

Solving 1.5x – tanx – 0.1 = 0,  using iteration method – Iteration is a method of solving algebraic or transcendental equation and is widely used in computer mechanics and programming algorithms. A hand-written solution is as below –

## Numerical solution by method of Iteration

Solving x = 1/ (1+x)1/2 using iteration method – Iteration is a method of solving algebraic or transcendental equation and is widely used in computer mechanics and programming algorithms. A hand-written solution is as below –