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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 (1392657.51-x)/1.16*0.16+x/1.1*0.1 = 126490.35 .
Question type: Equation
Solution:Original question:
| ( | 139265751 100 | − | x | ) | ÷ | 29 25 | × | 4 25 | + | x | ÷ | 11 10 | × | 1 10 | = | 2529807 20 |
| Left side of the equation = | ( | 139265751 100 | − | x | ) | × | 4 29 | + | x | × | 1 11 |
| ( | 139265751 100 | − | x | ) | × | 4 29 | + | 1 11 | x | = | 2529807 20 |
| Left side of the equation = | 139265751 100 | × | 4 29 | − | x | × | 4 29 | + | 1 11 | x |
| = | 139265751 725 | − | x | × | 4 29 | + | 1 11 | x |
| = | 139265751 725 | − | 15 319 | x |
139265751 725 | − | 15 319 | x | = | 2529807 20 |
Transposition :
| - | 15 319 | x | = | 2529807 20 | − | 139265751 725 |
Combine the items on the right of the equation:
| - | 15 319 | x | = | - | 190240989 2900 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
190240989 2900 | = | 15 319 | 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 :
15 319 | x | = | 190240989 2900 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 190240989 2900 | ÷ | 15 319 |
| = | 190240989 2900 | × | 319 15 |
| = | 63413663 2900 | × | 319 5 |
We obtained :
| x | = | 20228958497 14500 |