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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 792.37+0+23.77+0.01X+34.98+0.0002X+42.56+0.0005X+0.0538X = X .
Question type: Equation
Solution:Original question:
79237 100 | + | 0 | + | 2377 100 | + | 1 100 | X | + | 1749 50 | + | 1 5000 | X | + | 1064 25 | + | 1 2000 | X | + | 269 5000 | = | X |
| Left side of the equation = | 22342 25 | + | 129 2000 | X |
22342 25 | + | 129 2000 | X | = | X |
Transposition :
129 2000 | X | − | X | = | - | 22342 25 |
Combine the items on the left of the equation:
| - | 1871 2000 | X | = | - | 22342 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
22342 25 | = | 1871 2000 | 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 :
1871 2000 | X | = | 22342 25 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 22342 25 | ÷ | 1871 2000 |
| = | 22342 25 | × | 2000 1871 |
| = | 22342 | × | 80 1871 |
We obtained :
| X | = | 1787360 1871 |
Convert the result to decimal form :
| X | = | 955.296633 |