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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+8.82+8.76+9.52）/4 = X .
Question type: Equation
Solution:Original question:
| ( | X | + | 441 50 | + | 219 25 | + | 238 25 | ) | ÷ | 4 | = | X |
| Left side of the equation = | X | × | 1 4 | + | 441 50 | × | 1 4 | + | 219 25 | × | 1 4 | + | 238 25 | × | 1 4 |
| = | X | × | 1 4 | + | 441 200 | + | 219 100 | + | 119 50 |
| = | 1 4 | X | + | 271 40 |
1 4 | X | + | 271 40 | = | X |
Transposition :
1 4 | X | − | X | = | - | 271 40 |
Combine the items on the left of the equation:
| - | 3 4 | X | = | - | 271 40 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
271 40 | = | 3 4 | 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 :
3 4 | X | = | 271 40 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 271 40 | ÷ | 3 4 |
| = | 271 40 | × | 4 3 |
| = | 271 10 | × | 1 3 |
We obtained :
| X | = | 271 30 |
Convert the result to decimal form :
| X | = | 9.033333 |