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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 0.261*（0.22-x）/(0.22+2*x)+(1-0.261)*(1.26-x)/(1.26+2*x) = 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 :
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:
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 :
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 :
The solution of the equation:
x1≈-0.154463 , keep 6 decimal places
x2≈0.897303 , keep 6 decimal places
There are 2 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 0.261*（0.22-x）/(0.22+2*x)+(1-0.261)*(1.26-x)/(1.26+2*x) = 0 .
Question type: Equation
Solution:Original question:
261 1000 | ( | 11 50 | − | x | ) | ÷ | ( | 11 50 | + | 2 | x | ) | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | ÷ | ( | 63 50 | + | 2 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 11 50 | + | 2 | x | ) |
261 1000 | ( | 11 50 | − | x | ) | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | ÷ | ( | 63 50 | + | 2 | x | ) | × | ( | 11 50 | + | 2 | x | ) | = | 0 |
261 1000 | × | 11 50 | − | 261 1000 | x | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | ÷ | ( | 63 50 | + | 2 | x | ) | × | ( | 11 50 | + | 2 | x | ) | = | 0 |
2871 50000 | − | 261 1000 | x | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | ÷ | ( | 63 50 | + | 2 | x | ) | × | ( | 11 50 | + | 2 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 63 50 | + | 2 | x | ) |
2871 50000 | ( | 63 50 | + | 2 | x | ) | − | 261 1000 | x | ( | 63 50 | + | 2 | x | ) | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | ( | 11 50 | + | 2 | x | ) | = | 0 |
2871 50000 | × | 63 50 | + | 2871 50000 | × | 2 | x | − | 261 1000 | x | ( | 63 50 | + | 2 | x | ) | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | ( | 11 50 | + | 2 | x | ) | = | 0 |
180873 2500000 | + | 2871 25000 | x | − | 261 1000 | x | ( | 63 50 | + | 2 | x | ) | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | ( | 11 50 | + | 2 | x | ) | = | 0 |
180873 2500000 | + | 2871 25000 | x | − | 261 1000 | x | × | 63 50 | − | 261 1000 | x | × | 2 | x | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | = | 0 |
180873 2500000 | + | 2871 25000 | x | − | 16443 50000 | x | − | 261 500 | x | x | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | ( | 11 50 | + | 2 | x | ) | = | 0 |
180873 2500000 | − | 10701 50000 | x | − | 261 500 | x | x | + | ( | 1 | − | 261 1000 | ) | ( | 63 50 | − | x | ) | ( | 11 50 | + | 2 | x | ) | = | 0 |
180873 2500000 | − | 10701 50000 | x | − | 261 500 | x | x | + | 1 | ( | 63 50 | − | x | ) | ( | 11 50 | + | 2 | x | ) | − | 261 1000 | ( | 63 50 | − | x | ) | ( | 11 50 | + | 2 | x | ) | = | 0 |
180873 2500000 | − | 10701 50000 | x | − | 261 500 | x | x | + | 1 | × | 63 50 | ( | 11 50 | + | 2 | x | ) | − | 1 | x | ( | 11 50 | + | 2 | x | ) | = | 0 |
180873 2500000 | − | 10701 50000 | x | − | 261 500 | x | x | + | 63 50 | ( | 11 50 | + | 2 | x | ) | − | 1 | x | ( | 11 50 | + | 2 | x | ) | − | 261 1000 | = | 0 |
180873 2500000 | − | 10701 50000 | x | − | 261 500 | x | x | + | 63 50 | × | 11 50 | + | 63 50 | × | 2 | x | − | 1 | = | 0 |
180873 2500000 | − | 10701 50000 | x | − | 261 500 | x | x | + | 693 2500 | + | 63 25 | x | − | 1 | x | ( | 11 50 | + | 2 | x | ) | = | 0 |
873873 2500000 | + | 115299 50000 | x | − | 261 500 | x | x | − | 1 | x | ( | 11 50 | + | 2 | x | ) | − | 261 1000 | ( | 63 50 | − | x | ) | ( | 11 50 | + | 2 | x | ) | = | 0 |
873873 2500000 | + | 115299 50000 | x | − | 261 500 | x | x | − | 1 | x | × | 11 50 | − | 1 | x | × | 2 | = | 0 |
873873 2500000 | + | 115299 50000 | x | − | 261 500 | x | x | − | 11 50 | x | − | 2 | x | x | − | 261 1000 | = | 0 |
873873 2500000 | + | 104299 50000 | x | − | 261 500 | x | x | − | 2 | x | x | − | 261 1000 | ( | 63 50 | − | x | ) | ( | 11 50 | + | 2 | x | ) | = | 0 |
873873 2500000 | + | 104299 50000 | x | − | 261 500 | x | x | − | 2 | x | x | − | 261 1000 | × | 63 50 | ( | 11 50 | + | 2 | x | ) | = | 0 |
873873 2500000 | + | 104299 50000 | x | − | 261 500 | x | x | − | 2 | x | x | − | 16443 50000 | ( | 11 50 | + | 2 | x | ) | + | 261 1000 | = | 0 |
873873 2500000 | + | 104299 50000 | x | − | 261 500 | x | x | − | 2 | x | x | − | 16443 50000 | × | 11 50 | − | 16443 50000 | = | 0 |
873873 2500000 | + | 104299 50000 | x | − | 261 500 | x | x | − | 2 | x | x | − | 180873 2500000 | − | 16443 25000 | x | = | 0 |
693 2500 | + | 71413 50000 | x | − | 261 500 | x | x | − | 2 | x | x | + | 261 1000 | x | ( | 11 50 | + | 2 | x | ) | = | 0 |
The solution of the equation:
x1≈-0.154463 , keep 6 decimal places
x2≈0.897303 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》