How to run exp in bisection method

How to find the root of e^x-x^2+3x-2=0 by using bisection method using Matlab?

[James Tursa]

Is this a homework assignment where you have to hand-code the bisection method?

Answer 1

[Sam Chak]

Hi @Nadiah

This fzero algorithm uses a combination of bisection and secant methods. Very efficient! 👍

fcn   = @(x) exp(x) - x.^2 + 3*x - 2;
x0    = 0;  % initial guess
xroot = fzero(fcn, x0)

xroot = 0.2575

fplot(fcn, [-pi, pi], 'linewidth', 1.5)
hold on
plot(xroot, 0, 'ro', 'linewidth', 1.5, 'MarkerSize', 10)
grid on, xlabel('x'), ylabel('f(x)')