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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 0.4692/（1+1.38x）-0.0092/（1-0.04x）-0.237/(1-0.29x) = 0 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
The solution of the equation:
x1≈-0.724638 , keep 6 decimal places
x2≈0.472507 , keep 6 decimal places
x3≈3.448276 , keep 6 decimal places
x4≈21.252394 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 0.4692/（1+1.38x）-0.0092/（1-0.04x）-0.237/(1-0.29x) = 0 .
Question type: Equation
Solution:Original question:
1173 2500 | ÷ | ( | 1 | + | 69 50 | x | ) | − | 23 2500 | ÷ | ( | 1 | − | 1 25 | x | ) | − | 237 1000 | ÷ | ( | 1 | − | 29 100 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | 69 50 | x | ) |
1173 2500 | − | 23 2500 | ÷ | ( | 1 | − | 1 25 | x | ) | × | ( | 1 | + | 69 50 | x | ) | − | 237 1000 | ÷ | ( | 1 | − | 29 100 | x | ) | × | ( | 1 | + | 69 50 | x | ) | = | 0 |
1173 2500 | − | 23 2500 | ÷ | ( | 1 | − | 1 25 | x | ) | × | 1 | − | 23 2500 | ÷ | ( | 1 | − | 1 25 | x | ) | × | 69 50 | x | − | 237 1000 | ÷ | ( | 1 | − | 29 100 | x | ) | × | ( | 1 | + | 69 50 | x | ) | = | 0 |
1173 2500 | − | 23 2500 | ÷ | ( | 1 | − | 1 25 | x | ) | − | 1587 125000 | ÷ | ( | 1 | − | 1 25 | x | ) | × | x | − | 237 1000 | ÷ | ( | 1 | − | 29 100 | x | ) | × | ( | 1 | + | 69 50 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | 1 25 | x | ) |
1173 2500 | ( | 1 | − | 1 25 | x | ) | − | 23 2500 | − | 1587 125000 | x | − | 237 1000 | ÷ | ( | 1 | − | 29 100 | x | ) | × | ( | 1 | + | 69 50 | x | ) | ( | 1 | − | 1 25 | x | ) | = | 0 |
1173 2500 | × | 1 | − | 1173 2500 | × | 1 25 | x | − | 23 2500 | − | 1587 125000 | x | − | 237 1000 | ÷ | ( | 1 | − | 29 100 | x | ) | × | ( | 1 | + | 69 50 | x | ) | ( | 1 | − | 1 25 | x | ) | = | 0 |
1173 2500 | − | 1173 62500 | x | − | 23 2500 | − | 1587 125000 | x | − | 237 1000 | ÷ | ( | 1 | − | 29 100 | x | ) | × | ( | 1 | + | 69 50 | x | ) | ( | 1 | − | 1 25 | x | ) | = | 0 |
23 50 | − | 3933 125000 | x | − | 237 1000 | ÷ | ( | 1 | − | 29 100 | x | ) | × | ( | 1 | + | 69 50 | x | ) | ( | 1 | − | 1 25 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | 29 100 | x | ) |
23 50 | ( | 1 | − | 29 100 | x | ) | − | 3933 125000 | x | ( | 1 | − | 29 100 | x | ) | − | 237 1000 | ( | 1 | + | 69 50 | x | ) | ( | 1 | − | 1 25 | x | ) | = | 0 |
23 50 | × | 1 | − | 23 50 | × | 29 100 | x | − | 3933 125000 | x | ( | 1 | − | 29 100 | x | ) | − | 237 1000 | ( | 1 | + | 69 50 | x | ) | ( | 1 | − | 1 25 | x | ) | = | 0 |
23 50 | − | 667 5000 | x | − | 3933 125000 | x | ( | 1 | − | 29 100 | x | ) | − | 237 1000 | ( | 1 | + | 69 50 | x | ) | ( | 1 | − | 1 25 | x | ) | = | 0 |
23 50 | − | 667 5000 | x | − | 3933 125000 | x | × | 1 | + | 3933 125000 | x | × | 29 100 | x | − | 237 1000 | ( | 1 | + | 69 50 | x | ) | = | 0 |
23 50 | − | 667 5000 | x | − | 3933 125000 | x | + | 114057 12500000 | x | x | − | 237 1000 | ( | 1 | + | 69 50 | x | ) | ( | 1 | − | 1 25 | x | ) | = | 0 |
23 50 | − | 2576 15625 | x | + | 114057 12500000 | x | x | − | 237 1000 | ( | 1 | + | 69 50 | x | ) | ( | 1 | − | 1 25 | x | ) | = | 0 |
23 50 | − | 2576 15625 | x | + | 114057 12500000 | x | x | − | 237 1000 | × | 1 | ( | 1 | − | 1 25 | x | ) | − | 237 1000 | × | 69 50 | x | = | 0 |
23 50 | − | 2576 15625 | x | + | 114057 12500000 | x | x | − | 237 1000 | ( | 1 | − | 1 25 | x | ) | − | 16353 50000 | x | ( | 1 | − | 1 25 | x | ) | = | 0 |
23 50 | − | 2576 15625 | x | + | 114057 12500000 | x | x | − | 237 1000 | × | 1 | + | 237 1000 | × | 1 25 | x | − | 16353 50000 | = | 0 |
23 50 | − | 2576 15625 | x | + | 114057 12500000 | x | x | − | 237 1000 | + | 237 25000 | x | − | 16353 50000 | x | ( | 1 | − | 1 25 | x | ) | = | 0 |
223 1000 | − | 19423 125000 | x | + | 114057 12500000 | x | x | − | 16353 50000 | x | ( | 1 | − | 1 25 | x | ) | = | 0 |
223 1000 | − | 19423 125000 | x | + | 114057 12500000 | x | x | − | 16353 50000 | x | × | 1 | + | 16353 50000 | x | × | 1 25 | = | 0 |
223 1000 | − | 19423 125000 | x | + | 114057 12500000 | x | x | − | 16353 50000 | x | + | 16353 1250000 | x | x | = | 0 |
223 1000 | − | 120611 250000 | x | + | 114057 12500000 | x | x | + | 16353 1250000 | x | x | = | 0 |
The solution of the equation:
x1≈-0.724638 , keep 6 decimal places
x2≈0.472507 , keep 6 decimal places
x3≈3.448276 , keep 6 decimal places
x4≈21.252394 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》