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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 1000/135-X/1000 = 0.00305（X+1000） .
Question type: Equation
Solution:Original question:
| 1000 | ÷ | 135 | − | X | ÷ | 1000 | = | 61 20000 | ( | X | + | 1000 | ) |
| Left side of the equation = | 200 27 | − | X | × | 1 1000 |
200 27 | − | 1 1000 | X | = | 61 20000 | ( | X | + | 1000 | ) |
| Right side of the equation = | 61 20000 | X | + | 61 20000 | × | 1000 |
| = | 61 20000 | X | + | 61 20 |
200 27 | − | 1 1000 | X | = | 61 20000 | X | + | 61 20 |
Transposition :
| - | 1 1000 | X | − | 61 20000 | X | = | 61 20 | − | 200 27 |
Combine the items on the left of the equation:
| - | 81 20000 | X | = | 61 20 | − | 200 27 |
Combine the items on the right of the equation:
| - | 81 20000 | X | = | - | 2353 540 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2353 540 | = | 81 20000 | 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 :
81 20000 | X | = | 2353 540 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2353 540 | ÷ | 81 20000 |
| = | 2353 540 | × | 20000 81 |
| = | 2353 27 | × | 1000 81 |
We obtained :
| X | = | 2353000 2187 |
Convert the result to decimal form :
| X | = | 1075.903064 |