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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-0.04）/（0.06-0.04） = （1140-1155.79）/（1063.23-1155.79） .
Question type: Equation
Solution:Original question:
| ( | x | − | 1 25 | ) | ÷ | ( | 3 50 | − | 1 25 | ) | = | ( | 1140 | − | 115579 100 | ) | ÷ | ( | 106323 100 | − | 115579 100 | ) |
| Multiply both sides of the equation by: | ( | 3 50 | − | 1 25 | ) | , | ( | 106323 100 | − | 115579 100 | ) |
| ( | x | − | 1 25 | ) | ( | 106323 100 | − | 115579 100 | ) | = | ( | 1140 | − | 115579 100 | ) | ( | 3 50 | − | 1 25 | ) |
| x | ( | 106323 100 | − | 115579 100 | ) | − | 1 25 | ( | 106323 100 | − | 115579 100 | ) | = | ( | 1140 | − | 115579 100 | ) | ( | 3 50 | − | 1 25 | ) |
| x | ( | 106323 100 | − | 115579 100 | ) | − | 1 25 | ( | 106323 100 | − | 115579 100 | ) | = | 1140 | ( | 3 50 | − | 1 25 | ) | − | 115579 100 | ( | 3 50 | − | 1 25 | ) |
| x | × | 106323 100 | − | x | × | 115579 100 | − | 1 25 | ( | 106323 100 | − | 115579 100 | ) | = | 1140 | ( | 3 50 | − | 1 25 | ) | − | 115579 100 | ( | 3 50 | − | 1 25 | ) |
| x | × | 106323 100 | − | x | × | 115579 100 | − | 1 25 | ( | 106323 100 | − | 115579 100 | ) | = | 1140 | × | 3 50 | − | 1140 | × | 1 25 | − | 115579 100 | ( | 3 50 | − | 1 25 | ) |
| x | × | 106323 100 | − | x | × | 115579 100 | − | 1 25 | ( | 106323 100 | − | 115579 100 | ) | = | 342 5 | − | 228 5 | − | 115579 100 | ( | 3 50 | − | 1 25 | ) |
| - | 2314 25 | x | − | 1 25 | ( | 106323 100 | − | 115579 100 | ) | = | 114 5 | − | 115579 100 | ( | 3 50 | − | 1 25 | ) |
| - | 2314 25 | x | − | 1 25 | × | 106323 100 | + | 1 25 | × | 115579 100 | = | 114 5 | − | 115579 100 | ( | 3 50 | − | 1 25 | ) |
| - | 2314 25 | x | − | 1 25 | × | 106323 100 | + | 1 25 | × | 115579 100 | = | 114 5 | − | 115579 100 | × | 3 50 | + | 115579 100 | × | 1 25 |
| - | 2314 25 | x | − | 106323 2500 | + | 115579 2500 | = | 114 5 | − | 346737 5000 | + | 115579 2500 |
| - | 2314 25 | x | + | 2314 625 | = | - | 1579 5000 |
Transposition :
| - | 2314 25 | x | = | - | 1579 5000 | − | 2314 625 |
Combine the items on the right of the equation:
| - | 2314 25 | x | = | - | 20091 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
20091 5000 | = | 2314 25 | 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 :
2314 25 | x | = | 20091 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 20091 5000 | ÷ | 2314 25 |
| = | 20091 5000 | × | 25 2314 |
| = | 20091 200 | × | 1 2314 |
We obtained :
| x | = | 20091 462800 |
Convert the result to decimal form :
| x | = | 0.043412 |