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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 0.036313 = 1/(0.825-(x+1200)/(x+92834.4))-1/(0.825-x/(x+91634.4)) .
Question type: Equation
Solution:Original question:
36313 1000000 | = | 1 | ÷ | ( | 33 40 | − | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) | ) | − | 1 | ÷ | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) |
| Multiply both sides of the equation by: | ( | 33 40 | − | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) | ) |
36313 1000000 | ( | 33 40 | − | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) | ) | = | 1 | − | 1 | ÷ | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | × | ( | 33 40 | − | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) | ) |
36313 1000000 | × | 33 40 | − | 36313 1000000 | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) | = | 1 | − | 1 | ÷ | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | × | ( | 33 40 | − | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) | ) |
36313 1000000 | × | 33 40 | − | 36313 1000000 | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) | = | 1 | − | 1 | ÷ | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | × | 33 40 | + | 1 | ÷ | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | × | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) |
1198329 40000000 | − | 36313 1000000 | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) | = | 1 | − | 33 40 | ÷ | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | + | 1 | ÷ | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | × | ( | x | + | 1200 | ) | ÷ | ( | x | + | 464172 5 | ) |
| Multiply both sides of the equation by: | ( | x | + | 464172 5 | ) | , | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) |
1198329 40000000 | ( | x | + | 464172 5 | ) | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | − | 36313 1000000 | ( | x | + | 1200 | ) | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | = | 1 | ( | x | + | 464172 5 | ) | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | − | 33 40 | ( | x | + | 464172 5 | ) | + | 1 | ( | x | + | 1200 | ) |
1198329 40000000 | x | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | + | 1198329 40000000 | × | 464172 5 | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | − | 36313 1000000 | ( | x | + | 1200 | ) | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | = | 1 | ( | x | + | 464172 5 | ) | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | − | 33 40 | ( | x | + | 464172 5 | ) | + | 1 | ( | x | + | 1200 | ) |
1198329 40000000 | x | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | + | 1198329 40000000 | × | 464172 5 | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | − | 36313 1000000 | ( | x | + | 1200 | ) | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | = | 1 | x | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | + | 1 | × | 464172 5 | ( | 33 40 | − | x | ÷ | ( | x | + | 458172 5 | ) | ) | − | 33 40 | ( | x | + | 464172 5 | ) | + | 1 | ( | x | + | 1200 | ) |