Calculate root of the equation using the Secant method, correct... | Filo

a) Derive the secant method to solve for the roots of f(x) = 0 nonlinear equation.b) Use the secant method to numerically solve the nonlinear equation f(x) = x^2 0.165x^2 3.993x - 10.Assume the initial guesses of the root of f(x) = 0 as x0 = 0.02 and x1 = 0.05. Conduct four iterations to estimate the root of the above equation. Find the absolute relative approximate error at the end of each iteration.

Secant Method: Definition, Example