PolymathPlus Report
📈   Nonlinear Equation 2022-04-01 12:32 

# Single NLE with 3 possible solutions
# x solutions are: -2.6885439, 0.1254106, 2.4984733

f(x) = sin(x) - 0.2*x - 0.1
x(min) = -6
x(max) = 12


Calculated values

Solution #1 of 3

    Variable Value f(x) Initial Guess Initial f(x)
1 x -2.6885439 7.8E-13 3 -5.6E-01

Solution #2 of 3

    Variable Value f(x) Initial Guess Initial f(x)
1 x 0.1254106 -1.9E-09 3 -5.6E-01

Solution #3 of 3

    Variable Value f(x) Initial Guess Initial f(x)
1 x 2.4984733 -9.4E-08 3 -5.6E-01

Root Finding Plot

 -6 -4 -2 0 2 4 -5 0 5 10 x Zero Line f(x)



Formatted equations

  f x ( ) = s i n x ( ) 0 . 2 x 0 . 1 = 0
  6 < x < 1 2

Nonlinear equations

1 f(x) = sin(x) - 0.2*x - 0.1 = 0

General Settings

Total number of equations 1
Number of implicit equations 1
Number of explicit equations 0
Elapsed time 0.00 sec
Reporting digits 10
Solution method safenewt
Max iterations 150
Tolerance F 1E-07
Tolerance X 1E-07
Tolerance min 1E-07