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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 （5.1612-x）/5.1612*100 = 94.84% .
Question type: Equation
Solution:Original question:
| ( | 12903 2500 | − | x | ) | ÷ | 12903 2500 | × | 100 | = | 2371 2500 |
| Left side of the equation = | ( | 12903 2500 | − | x | ) | × | 250000 12903 |
| ( | 12903 2500 | − | x | ) | × | 250000 12903 | = | 2371 2500 |
| Left side of the equation = | 12903 2500 | × | 250000 12903 | − | x | × | 250000 12903 |
| = | 100 | − | x | × | 250000 12903 |
| 100 | − | 250000 12903 | x | = | 2371 2500 |
Transposition :
| - | 250000 12903 | x | = | 2371 2500 | − | 100 |
Combine the items on the right of the equation:
| - | 250000 12903 | x | = | - | 247629 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
247629 2500 | = | 250000 12903 | 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 :
250000 12903 | x | = | 247629 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 247629 2500 | ÷ | 250000 12903 |
| = | 247629 2500 | × | 12903 250000 |
We obtained :
| x | = | 3195156987 625000000 |
Convert the result to decimal form :
| x | = | 5.112251 |