Question

Two positive real roots for the polynomial f(x) = x⁴ + x² - 2 are x = 1 and x = - 1 . Find the other two roots using Muller's method.

Answer 1

To find the other two roots of the polynomial f(x) = x⁴ + x² - 2 using Muller's method.

Step-by-step explanation:

Given that the polynomial f(x) = x⁴ + x² - 2 has two positive real roots, x = 1 and x = -1, we can find the other two roots using Muller's method.

Muller's method is an iterative numerical method for finding the roots of a polynomial. It involves using three initial guesses for the roots and iteratively updating these guesses until convergence is achieved. To find the other two roots, we can use the given initial guesses and apply Muller's method to the polynomial equation f(x) = 0.

By applying Muller's method, we can find the other two roots of the polynomial f(x) = x⁴ + x² - 2.