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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 10.19% = （x-92243377.73)/x .
Question type: Equation
Solution:Original question:
1019 10000 | = | ( | x | − | 9224337773 100 | ) | ÷ | x |
| Multiply both sides of the equation by: | x |
1019 10000 | x | = | ( | x | − | 9224337773 100 | ) |
1019 10000 | x | = | x | − | 9224337773 100 |
Transposition :
1019 10000 | x | − | x | = | - | 9224337773 100 |
Combine the items on the left of the equation:
| - | 8981 10000 | x | = | - | 9224337773 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9224337773 100 | = | 8981 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 :
8981 10000 | x | = | 9224337773 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9224337773 100 | ÷ | 8981 10000 |
| = | 9224337773 100 | × | 10000 8981 |
| = | 1317762539 | × | 100 1283 |
We obtained :
| x | = | 131776253900 1283 |