Newton-Raphson Root Finder Calculator

Approximate real roots of a quadratic polynomial using Newton-Raphson iterations, tolerance, and initial guess controls.

Quadratic a

Quadratic b

Quadratic c

Initial Guess x0

Max Iterations

Tolerance

Core Formula

x_(n+1) = x_n - f(x_n) / f'(x_n)

Use this as a planning and validation aid, then confirm assumptions with your context.

Your Results

Calculated

Estimated Root
-
Primary output

Iterations Used

Secondary output

Residual |f(x)|

Verification metric

Convergence Status

Interpretation

Enter values and calculate to get scenario outputs.

This calculator is designed for practical analysis and fast scenario testing. Use conservative assumptions first, then compare improved scenarios.

Reference tools for checking steps, notation, and long calculations.

Cross-check intermediate values from the calculator above.

Plot relationships when symbols alone feel abstract.

Supports manual verification for diagrams and constructions.