Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation z = 1.029-1.504*(z-0.029)/z/(z+0.029) .
Question type: Equation
Solution:Original question:
| z | = | 1029 1000 | − | 188 125 | ( | z | − | 29 1000 | ) | ÷ | z | ÷ | ( | z | + | 29 1000 | ) |
| Multiply both sides of the equation by: | z |
| z | z | = | 1029 1000 | z | − | 188 125 | ( | z | − | 29 1000 | ) | ÷ | ( | z | + | 29 1000 | ) |
| z | z | = | 1029 1000 | z | − | 188 125 | z | ÷ | ( | z | + | 29 1000 | ) | + | 188 125 | × | 29 1000 | ÷ | ( | z | + | 29 1000 | ) |
| z | z | = | 1029 1000 | z | − | 188 125 | z | ÷ | ( | z | + | 29 1000 | ) | + | 1363 31250 | ÷ | ( | z | + | 29 1000 | ) |
| Multiply both sides of the equation by: | ( | z | + | 29 1000 | ) |
| z | z | ( | z | + | 29 1000 | ) | = | 1029 1000 | z | ( | z | + | 29 1000 | ) | − | 188 125 | z | + | 1363 31250 |
| z | z | z | + | z | z | × | 29 1000 | = | 1029 1000 | z | ( | z | + | 29 1000 | ) | − | 188 125 | z | + | 1363 31250 |
| z | z | z | + | z | z | × | 29 1000 | = | 1029 1000 | z | z | + | 1029 1000 | z | × | 29 1000 | − | 188 125 | z | + | 1363 31250 |
| z | z | z | + | z | z | × | 29 1000 | = | 1029 1000 | z | z | + | 29841 1000000 | z | − | 188 125 | z | + | 1363 31250 |
| z | z | z | + | z | z | × | 29 1000 | = | 1029 1000 | z | z | − | 1474159 1000000 | z | + | 1363 31250 |
the solutions is:
z≈0.030187 , keep 6 decimal places
There are 1 solution(s).
解方程的详细方法请参阅：《方程的解法》