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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 1-0.1423/(x-0.0077) = 0.998*0.85/0.9923 .
Question type: Equation
Solution:Original question:
| 1 | − | 1423 10000 | ÷ | ( | x | − | 77 10000 | ) | = | 499 500 | × | 17 20 | ÷ | 9923 10000 |
| Multiply both sides of the equation by: | ( | x | − | 77 10000 | ) |
| 1 | ( | x | − | 77 10000 | ) | − | 1423 10000 | = | 499 500 | × | 17 20 | ÷ | 9923 10000 | × | ( | x | − | 77 10000 | ) |
| 1 | x | − | 1 | × | 77 10000 | − | 1423 10000 | = | 499 500 | × | 17 20 | ÷ | 9923 10000 | × | ( | x | − | 77 10000 | ) |
| 1 | x | − | 1 | × | 77 10000 | − | 1423 10000 | = | 499 500 | × | 17 20 | ÷ | 9923 10000 | × | x | − | 499 500 | × | 17 20 | ÷ | 9923 10000 | × | 77 10000 |
| 1 | x | − | 77 10000 | − | 1423 10000 | = | 8483 9923 | x | − | 653191 99230000 |
| 1 | x | − | 3 20 | = | 8483 9923 | x | − | 653191 99230000 |
Transposition :
| 1 | x | − | 8483 9923 | x | = | - | 653191 99230000 | + | 3 20 |
Combine the items on the left of the equation:
1440 9923 | x | = | - | 653191 99230000 | + | 3 20 |
Combine the items on the right of the equation:
1440 9923 | x | = | 14231309 99230000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 14231309 99230000 | ÷ | 1440 9923 |
| = | 14231309 99230000 | × | 9923 1440 |
We obtained :
| x | = | 141217279207 142891200000 |