0 votes 0 votes The quadratic equation $2x^2 - 3x +3=0$ is to be solved numerically starting with an initial guess as $x_0=2$. The new estimate of $x$ after the first iteration using Newton-Raphson method is _________ Numerical Methods gate2018-ce-2 numerical-methods newton-raphson-method numerical-answers + – gatecse asked Feb 17, 2018 edited Mar 11, 2021 by Lakshman Bhaiya gatecse 4.0k points answer See all 0 reply
Best answer 1 votes 1 votes F(x) = 2x^2 - 3x + 3 , x0 = 2 using Newton Raphson method X(n+1) = Xn - F(Xn)/F’(Xn) So, F(x) = 2x^2 - 3x + 3 & F’(x) = 4x - 3 F(2) = 5 F’(2) = 5 therefore X1 = X0 - F(X0)/ F’(X0) = 2-1 = 1 Pushpendra Tiwari answered Feb 17, 2018 selected Feb 17, 2018 by gatecse Pushpendra Tiwari comment Share See all 0 reply Please log in or register to add a comment.