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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 (1-0.000257x)/0.000564 = （1-0.000241x）/0.000601 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (1-0.000257x)/0.000564 = （1-0.000241x）/0.000601 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 257 1000000 | x | ) | ÷ | 141 250000 | = | ( | 1 | − | 241 1000000 | x | ) | ÷ | 601 1000000 |
| Left side of the equation = | 1 | × | 250000 141 | − | 257 1000000 | x | × | 250000 141 |
| = | 250000 141 | − | 257 564 | x |
250000 141 | − | 257 564 | x | = | ( | 1 | − | 241 1000000 | x | ) | ÷ | 601 1000000 |
| Right side of the equation = | 1 | × | 1000000 601 | − | 241 1000000 | x | × | 1000000 601 |
| = | 1000000 601 | − | 241 601 | x |
250000 141 | − | 257 564 | x | = | 1000000 601 | − | 241 601 | x |
Transposition :
| - | 257 564 | x | + | 241 601 | x | = | 1000000 601 | − | 250000 141 |
Combine the items on the left of the equation:
| - | 18533 338964 | x | = | 1000000 601 | − | 250000 141 |
Combine the items on the right of the equation:
| - | 18533 338964 | x | = | - | 9250000 84741 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9250000 84741 | = | 18533 338964 | 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 :
18533 338964 | x | = | 9250000 84741 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9250000 84741 | ÷ | 18533 338964 |
| = | 9250000 84741 | × | 338964 18533 |
| = | 9250000 601 | × | 2404 18533 |
We obtained :
| x | = | 22237000000 11138333 |