# GATE Questions & Answers of Solution of Non-Linear Equations

## What is the Weightage of Solution of Non-Linear Equations in GATE Exam?

Total 5 Questions have been asked from Solution of Non-Linear Equations topic of Numerical Methods subject in previous GATE papers. Average marks 1.60.

A polynomial $f\left(x\right)={a}_{4}{x}^{4}+{a}_{3}{x}^{3}+{a}_{2}{x}^{2}+{a}_{1}x-{a}_{0}$ with all coefficients positive has

A numerical solution of the equation  $f\left(x\right)=x+\sqrt{x}-3=0$ can be obtained using Newton- Raphson method. If the starting value is x = 2 for the iteration, the value of x that is to be used in the next step is

The recursion relation to solve x=e-x using Newton Raphson method is

For the function ${e}^{-x}$, the linear approximation around x = 2 is: