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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/339+(1-x)/39 = 0.0156 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x/339+(1-x)/39 = 0.0156 .
Question type: Equation
Solution:Original question:
| x | ÷ | 339 | + | ( | 1 | − | x | ) | ÷ | 39 | = | 39 2500 |
| Left side of the equation = | 1 339 | x | + | 1 | × | 1 39 | − | x | × | 1 39 |
| = | 1 339 | x | + | 1 39 | − | x | × | 1 39 |
| = | - | 100 4407 | x | + | 1 39 |
| - | 100 4407 | x | + | 1 39 | = | 39 2500 |
Transposition :
| - | 100 4407 | x | = | 39 2500 | − | 1 39 |
Combine the items on the right of the equation:
| - | 100 4407 | x | = | - | 979 97500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
979 97500 | = | 100 4407 | 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 :
100 4407 | x | = | 979 97500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 979 97500 | ÷ | 100 4407 |
| = | 979 97500 | × | 4407 100 |
| = | 979 2500 | × | 113 100 |
We obtained :
| x | = | 110627 250000 |
Convert the result to decimal form :
| x | = | 0.442508 |