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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 （85-X)*0.1469 = X .
Question type: Equation
Solution:Original question:
| ( | 85 | − | X | ) | × | 1469 10000 | = | X |
| Left side of the equation = | 85 | × | 1469 10000 | − | X | × | 1469 10000 |
| = | 24973 2000 | − | X | × | 1469 10000 |
24973 2000 | − | 1469 10000 | X | = | X |
Transposition :
| - | 1469 10000 | X | − | X | = | - | 24973 2000 |
Combine the items on the left of the equation:
| - | 11469 10000 | X | = | - | 24973 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
24973 2000 | = | 11469 10000 | 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 :
11469 10000 | X | = | 24973 2000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 24973 2000 | ÷ | 11469 10000 |
| = | 24973 2000 | × | 10000 11469 |
| = | 24973 | × | 5 11469 |
We obtained :
| X | = | 124865 11469 |
Convert the result to decimal form :
| X | = | 10.887174 |