Examples for
Numerical Root Finding
Wolfram|Alpha provides flexible tools for numerical root finding using algorithms, such as Newton's method and the bisection method. Pick starting points, precision and method. Explore complex roots or the step‐by‐step symbolic details of the calculation.
Newton's Method
Compute the roots of an equation or number with Newton's method.
Find a root of an equation using Newton's method:
Specify a starting point:
Specify precision:
Find a complex root with Newton's method:
Compute the nth root of a number using Newton's method:
Bisection Method
Calculate the roots of an equation using the bisection method.
Find a root of an equation using the bisection method:
Compute the nth root of a number using the bisection method:
Secant Method
Use the secant method for numerical root finding.