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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-0.06）/（0.08-0.06） = （1000-1120.412）/（897.949-1120.412） .
Question type: Equation
Solution:Original question:
| ( | x | − | 3 50 | ) | ÷ | ( | 2 25 | − | 3 50 | ) | = | ( | 1000 | − | 280103 250 | ) | ÷ | ( | 897949 1000 | − | 280103 250 | ) |
| Multiply both sides of the equation by: | ( | 2 25 | − | 3 50 | ) | , | ( | 897949 1000 | − | 280103 250 | ) |
| ( | x | − | 3 50 | ) | ( | 897949 1000 | − | 280103 250 | ) | = | ( | 1000 | − | 280103 250 | ) | ( | 2 25 | − | 3 50 | ) |
| x | ( | 897949 1000 | − | 280103 250 | ) | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | ( | 1000 | − | 280103 250 | ) | ( | 2 25 | − | 3 50 | ) |
| x | ( | 897949 1000 | − | 280103 250 | ) | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 1000 | ( | 2 25 | − | 3 50 | ) | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| x | × | 897949 1000 | − | x | × | 280103 250 | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 1000 | ( | 2 25 | − | 3 50 | ) | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| x | × | 897949 1000 | − | x | × | 280103 250 | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 1000 | × | 2 25 | − | 1000 | × | 3 50 | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| x | × | 897949 1000 | − | x | × | 280103 250 | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 80 | − | 60 | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| - | 222463 1000 | x | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 20 | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| - | 222463 1000 | x | − | 3 50 | × | 897949 1000 | + | 3 50 | × | 280103 250 | = | 20 | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| - | 222463 1000 | x | − | 3 50 | × | 897949 1000 | + | 3 50 | × | 280103 250 | = | 20 | − | 280103 250 | × | 2 25 | + | 280103 250 | × | 3 50 |
| - | 222463 1000 | x | − | 2693847 50000 | + | 840309 12500 | = | 20 | − | 280103 3125 | + | 840309 12500 |
| - | 222463 1000 | x | + | 667389 50000 | = | - | 30103 12500 |
Transposition :
| - | 222463 1000 | x | = | - | 30103 12500 | − | 667389 50000 |
Combine the items on the right of the equation:
| - | 222463 1000 | x | = | - | 787801 50000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
787801 50000 | = | 222463 1000 | 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 :
222463 1000 | x | = | 787801 50000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 787801 50000 | ÷ | 222463 1000 |
| = | 787801 50000 | × | 1000 222463 |
| = | 787801 50 | × | 1 222463 |
We obtained :
| x | = | 787801 11123150 |
Convert the result to decimal form :
| x | = | 0.070825 |