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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 1.1578/(x*(1-0.9405)) = 33.11 .
Question type: Equation
Solution:Original question:
5789 5000 | ÷ | ( | x | ( | 1 | − | 1881 2000 | ) | ) | = | 3311 100 |
| Multiply both sides of the equation by: | ( | x | ( | 1 | − | 1881 2000 | ) | ) |
5789 5000 | = | 3311 100 | ( | x | ( | 1 | − | 1881 2000 | ) | ) |
5789 5000 | = | 3311 100 | x | ( | 1 | − | 1881 2000 | ) |
5789 5000 | = | 3311 100 | x | × | 1 | − | 3311 100 | x | × | 1881 2000 |
5789 5000 | = | 3311 100 | x | − | 6227991 200000 | x |
5789 5000 | = | 394009 200000 | x |
Transposition :
| - | 394009 200000 | x | = | - | 5789 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
5789 5000 | = | 394009 200000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
394009 200000 | x | = | 5789 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5789 5000 | ÷ | 394009 200000 |
| = | 5789 5000 | × | 200000 394009 |
| = | 827 | × | 40 56287 |
We obtained :
| x | = | 33080 56287 |
Convert the result to decimal form :
| x | = | 0.587702 |