Bisection Method Solver

Guaranteed root finding

All Tools

f(x)

Tol

✓ Converged in 34 iterations

Root

1.414213562326

Iterations

namidpointbwidth

01.0000001.500000002.0000005.0e-1

11.0000001.250000001.5000002.5e-1

21.2500001.375000001.5000001.3e-1

31.3750001.437500001.5000006.3e-2

41.3750001.406250001.4375003.1e-2

51.4062501.421875001.4375001.6e-2

61.4062501.414062501.4218757.8e-3

71.4140631.417968751.4218753.9e-3

81.4140631.416015631.4179692.0e-3

91.4140631.415039061.4160169.8e-4

101.4140631.414550781.4150394.9e-4

111.4140631.414306641.4145512.4e-4

121.4140631.414184571.4143071.2e-4

131.4141851.414245611.4143076.1e-5

141.4141851.414215091.4142463.1e-5

151.4141851.414199831.4142151.5e-5

161.4142001.414207461.4142157.6e-6

171.4142071.414211271.4142153.8e-6

181.4142111.414213181.4142151.9e-6

191.4142131.414214131.4142159.5e-7

201.4142131.414213661.4142144.8e-7

211.4142131.414213421.4142142.4e-7

221.4142131.414213541.4142141.2e-7

231.4142141.414213601.4142146.0e-8

241.4142141.414213571.4142143.0e-8

251.4142141.414213551.4142141.5e-8

261.4142141.414213561.4142147.5e-9

271.4142141.414213561.4142143.7e-9

281.4142141.414213561.4142141.9e-9

291.4142141.414213561.4142149.3e-10

301.4142141.414213561.4142144.7e-10

311.4142141.414213561.4142142.3e-10

321.4142141.414213561.4142141.2e-10

331.4142141.414213561.4142145.8e-11

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About Bisection Method Solver

A bisection method solver for finding roots of f(x)=0. Enter a function and bracket [a,b] where f(a) and f(b) have opposite signs. Halves the interval each step, guaranteed to converge. Shows each iteration with midpoint, function value, and interval width. All calculations are client-side.

Bisection Method Solver Features

Guaranteed conv
Iteration table
Bracket display
Presets
Error bound

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