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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 0.3082 = 3.20*x/(1-x)+6.3918*13.6*x/(1-13.6*x) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right 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≈0.003272 , keep 6 decimal places
x2≈0.073529 , keep 6 decimal places
x3≈0.699552 , keep 6 decimal places
There are 3 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 0.3082 = 3.20*x/(1-x)+6.3918*13.6*x/(1-13.6*x) .
Question type: Equation
Solution:Original question:
1541 5000 | = | 16 5 | x | ÷ | ( | 1 | − | x | ) | + | 31959 5000 | × | 68 5 | x | ÷ | ( | 1 | − | 68 5 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
1541 5000 | ( | 1 | − | x | ) | = | 16 5 | x | + | 31959 5000 | × | 68 5 | x | ÷ | ( | 1 | − | 68 5 | x | ) | × | ( | 1 | − | x | ) |
1541 5000 | × | 1 | − | 1541 5000 | x | = | 16 5 | x | + | 31959 5000 | × | 68 5 | x | ÷ | ( | 1 | − | 68 5 | x | ) | × | ( | 1 | − | x | ) |
1541 5000 | × | 1 | − | 1541 5000 | x | = | 16 5 | x | + | 31959 5000 | × | 68 5 | x | ÷ | ( | 1 | − | 68 5 | x | ) | × | 1 | − | 31959 5000 | × | 68 5 | x | ÷ | ( | 1 | − | 68 5 | x | ) | × | x |
1541 5000 | − | 1541 5000 | x | = | 16 5 | x | + | 543303 6250 | x | ÷ | ( | 1 | − | 68 5 | x | ) | − | 543303 6250 | x | ÷ | ( | 1 | − | 68 5 | x | ) | × | x |
| Multiply both sides of the equation by: | ( | 1 | − | 68 5 | x | ) |
1541 5000 | ( | 1 | − | 68 5 | x | ) | − | 1541 5000 | x | ( | 1 | − | 68 5 | x | ) | = | 16 5 | x | ( | 1 | − | 68 5 | x | ) | + | 543303 6250 | x | − | 543303 6250 | x | x |
1541 5000 | × | 1 | − | 1541 5000 | × | 68 5 | x | − | 1541 5000 | x | ( | 1 | − | 68 5 | x | ) | = | 16 5 | x | ( | 1 | − | 68 5 | x | ) | + | 543303 6250 | x | − | 543303 6250 | x | x |
1541 5000 | × | 1 | − | 1541 5000 | × | 68 5 | x | − | 1541 5000 | x | ( | 1 | − | 68 5 | x | ) | = | 16 5 | x | × | 1 | − | 16 5 | x | × | 68 5 | x | + | 543303 6250 | x | − | 543303 6250 | x | x |
1541 5000 | − | 26197 6250 | x | − | 1541 5000 | x | ( | 1 | − | 68 5 | x | ) | = | 16 5 | x | − | 1088 25 | x | x | + | 543303 6250 | x | − | 543303 6250 | x | x |
1541 5000 | − | 26197 6250 | x | − | 1541 5000 | x | ( | 1 | − | 68 5 | x | ) | = | 563303 6250 | x | − | 1088 25 | x | x | − | 543303 6250 | x | x |
1541 5000 | − | 26197 6250 | x | − | 1541 5000 | x | × | 1 | + | 1541 5000 | x | × | 68 5 | x | = | 563303 6250 | x | − | 1088 25 | x | x | − | 543303 6250 | x | x |
1541 5000 | − | 26197 6250 | x | − | 1541 5000 | x | + | 26197 6250 | x | x | = | 563303 6250 | x | − | 1088 25 | x | x | − | 543303 6250 | x | x |
1541 5000 | − | 112493 25000 | x | + | 26197 6250 | x | x | = | 563303 6250 | x | − | 1088 25 | x | x | − | 543303 6250 | x | x |
The solution of the equation:
x1≈0.003272 , keep 6 decimal places
x2≈0.073529 , keep 6 decimal places
x3≈0.699552 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》