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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 x/107.56+(1-x)/41.59 = 99.66 .
Question type: Equation
Solution:Original question:
| x | ÷ | 2689 25 | + | ( | 1 | − | x | ) | ÷ | 4159 100 | = | 4983 50 |
| Left side of the equation = | 25 2689 | x | + | 1 | × | 100 4159 | − | x | × | 100 4159 |
| = | 25 2689 | x | + | 100 4159 | − | x | × | 100 4159 |
| = | - | 164925 11183551 | x | + | 100 4159 |
| - | 164925 11183551 | x | + | 100 4159 | = | 4983 50 |
Transposition :
| - | 164925 11183551 | x | = | 4983 50 | − | 100 4159 |
Combine the items on the right of the equation:
| - | 164925 11183551 | x | = | 20719297 207950 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 20719297 207950 | = | 164925 11183551 | 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 :
164925 11183551 | x | = | - | 20719297 207950 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 20719297 207950 | ÷ | 164925 11183551 |
| = | - | 20719297 207950 | × | 11183551 164925 |
We obtained :
| x | = | - | 231715314683647 34296153750 |