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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 (94.5-X)/1000-X/126 = 0.333 .
Question type: Equation
Solution:Original question:
| ( | 189 2 | − | X | ) | ÷ | 1000 | − | X | ÷ | 126 | = | 333 1000 |
| Left side of the equation = | 189 2 | × | 1 1000 | − | X | × | 1 1000 | − | 1 126 | X |
| = | 189 2000 | − | X | × | 1 1000 | − | 1 126 | X |
| = | 189 2000 | − | 563 63000 | X |
189 2000 | − | 563 63000 | X | = | 333 1000 |
Transposition :
| - | 563 63000 | X | = | 333 1000 | − | 189 2000 |
Combine the items on the right of the equation:
| - | 563 63000 | X | = | 477 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 477 2000 | = | 563 63000 | 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 :
563 63000 | X | = | - | 477 2000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 477 2000 | ÷ | 563 63000 |
| = | - | 477 2000 | × | 63000 563 |
| = | - | 477 2 | × | 63 563 |
We obtained :
| X | = | - | 30051 1126 |
Convert the result to decimal form :
| X | = | - 26.688277 |