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● Math Calculator

nSolve Calculator

Find a numerical solution to a single-variable equation using Newton's method or the secant method. Enter an equation, choose a starting value, and review the root, residual, and convergence details.

STEP 01Enter your equation

Type an equation in x, such as x^3 - x - 2 = 0.

STEP 02Choose a method

Select Newton or Secant and provide starting values.

STEP 03Review the root

See the numerical solution, residual, and iteration count.

Solution
1.52138
estimated root
Residual
0.00
absolute equation error
Iterations
4
steps completed
Method
Newton
numerical algorithm
Status
Converged
solver outcome
Equation and solver details
Numerical solution
x ≈ 1.521380
estimated real root
The solver converged successfully and the equation residual is below the selected tolerance.
Solution breakdown
Root1.521380
Function value0.000000
Absolute residual0.000000
Iterations used4
ConvergenceSuccessful
Solver summary
Equationx^3 - x - 2 = 0
MethodNewton's method
Initial guess1.5
Tolerance1e-8
Maximum iterations50
Solver insights
Highaccuracy level
Fastconvergence speed
Realsolution type
The selected starting value is close enough to the root for rapid convergence.
Supported equation syntax

Use x as the variable. Supported functions include sin, cos, tan, asin, acos, atan, sqrt, abs, exp, log, log10, floor, ceil, and round. Use ^ for powers and constants pi and e. Examples: cos(x) = x, x^2 - 5 = 0, or exp(x) - 3x = 0.

Calculation assumptions

This calculator searches for one real numerical root near the starting value. Different starting values may lead to different roots. Some equations may fail to converge, may have no real solution, or may require a better initial guess.

Frequently asked questions
What does nSolve mean?

nSolve means numerical solve. It estimates a solution when an exact symbolic answer is unavailable or inconvenient.

Why can different guesses return different roots?

An equation may have several roots. Numerical methods normally converge to a root near the supplied starting value.

What should I do if the solver does not converge?

Try another initial guess, switch methods, increase the iteration limit, or check that the equation is continuous near the expected root.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

ⓘ nSolve Calculator Disclaimer
This calculator provides numerical estimates for educational and analytical use. Verify important results with an independent method, especially for engineering, scientific, or financial decisions.
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