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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 X/126+(21-X)/111-.059 = 0.119 .
Question type: Equation
Solution:Original question:
| X | ÷ | 126 | + | ( | 21 | − | X | ) | ÷ | 111 | − | 59 1000 | = | 119 1000 |
| Left side of the equation = | 1 126 | X | + | 21 | × | 1 111 | − | X | × | 1 111 | − | 59 1000 |
| = | 1 126 | X | + | 7 37 | − | X | × | 1 111 | − | 59 1000 |
| = | - | 5 4662 | X | + | 4817 37000 |
| - | 5 4662 | X | + | 4817 37000 | = | 119 1000 |
Transposition :
| - | 5 4662 | X | = | 119 1000 | − | 4817 37000 |
Combine the items on the right of the equation:
| - | 5 4662 | X | = | - | 207 18500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
207 18500 | = | 5 4662 | 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 :
5 4662 | X | = | 207 18500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 207 18500 | ÷ | 5 4662 |
| = | 207 18500 | × | 4662 5 |
| = | 207 250 | × | 63 5 |
We obtained :
| X | = | 13041 1250 |
Convert the result to decimal form :
| X | = | 10.4328 |