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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 10.78+（X*0.0257） = X .
Question type: Equation
Solution:Original question:
539 50 | + | ( | X | × | 257 10000 | ) | = | X |
| Left side of the equation = | 539 50 | + | X | × | 257 10000 |
539 50 | + | 257 10000 | X | = | X |
Transposition :
257 10000 | X | − | X | = | - | 539 50 |
Combine the items on the left of the equation:
| - | 9743 10000 | X | = | - | 539 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
539 50 | = | 9743 10000 | 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 :
9743 10000 | X | = | 539 50 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 539 50 | ÷ | 9743 10000 |
| = | 539 50 | × | 10000 9743 |
| = | 539 | × | 200 9743 |
We obtained :
| X | = | 107800 9743 |
Convert the result to decimal form :
| X | = | 11.064354 |