# Example 6 - Single NLE
# Solve the nonlinear equation: x*log(x/2) + 4*x^2 = 1620
# Verified Solution x = 20
f(x) = t + 4*x^2 - 1620
t = x*log(x/2)
x(min) = 0.1
x(max) = 100
Calculated values
| |
Variable |
Value |
f(x) |
Initial Guess |
Initial f(x) |
| 1 |
x |
20 |
4.3E-11 |
50.05 |
8.5E03 |
| |
Variable |
Value |
Initial Value |
| 1 |
t |
20 |
69.988623 |
Root Finding Plot

Formatted equations
Nonlinear equations
| 1 |
f(x) = t + 4*x^2 - 1620 = 0 |
Explicit equations
General Settings
| Total number of equations |
2 |
| Number of implicit equations |
1 |
| Number of explicit equations |
1 |
| Elapsed time |
0.01 sec |
| Reporting digits |
10 |
| Solution method |
safenewt |
| Max iterations |
150 |
| Tolerance F |
1E-07 |
| Tolerance X |
1E-07 |
| Tolerance min |
1E-07 |