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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-0.1）/（0.12-0.1） = （950-999.96）/（887.02-999.96） .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
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-0.1）/（0.12-0.1） = （950-999.96）/（887.02-999.96） .
Question type: Equation
Solution:Original question:
| ( | x | − | 1 10 | ) | ÷ | ( | 3 25 | − | 1 10 | ) | = | ( | 950 | − | 24999 25 | ) | ÷ | ( | 44351 50 | − | 24999 25 | ) |
| Multiply both sides of the equation by: | ( | 3 25 | − | 1 10 | ) | , | ( | 44351 50 | − | 24999 25 | ) |
| ( | x | − | 1 10 | ) | ( | 44351 50 | − | 24999 25 | ) | = | ( | 950 | − | 24999 25 | ) | ( | 3 25 | − | 1 10 | ) |
| x | ( | 44351 50 | − | 24999 25 | ) | − | 1 10 | ( | 44351 50 | − | 24999 25 | ) | = | ( | 950 | − | 24999 25 | ) | ( | 3 25 | − | 1 10 | ) |
| x | ( | 44351 50 | − | 24999 25 | ) | − | 1 10 | ( | 44351 50 | − | 24999 25 | ) | = | 950 | ( | 3 25 | − | 1 10 | ) | − | 24999 25 | ( | 3 25 | − | 1 10 | ) |
| x | × | 44351 50 | − | x | × | 24999 25 | − | 1 10 | ( | 44351 50 | − | 24999 25 | ) | = | 950 | ( | 3 25 | − | 1 10 | ) | − | 24999 25 | ( | 3 25 | − | 1 10 | ) |
| x | × | 44351 50 | − | x | × | 24999 25 | − | 1 10 | ( | 44351 50 | − | 24999 25 | ) | = | 950 | × | 3 25 | − | 950 | × | 1 10 | − | 24999 25 | ( | 3 25 | − | 1 10 | ) |
| x | × | 44351 50 | − | x | × | 24999 25 | − | 1 10 | ( | 44351 50 | − | 24999 25 | ) | = | 114 | − | 95 | − | 24999 25 | ( | 3 25 | − | 1 10 | ) |
| - | 5647 50 | x | − | 1 10 | ( | 44351 50 | − | 24999 25 | ) | = | 19 | − | 24999 25 | ( | 3 25 | − | 1 10 | ) |
| - | 5647 50 | x | − | 1 10 | × | 44351 50 | + | 1 10 | × | 24999 25 | = | 19 | − | 24999 25 | ( | 3 25 | − | 1 10 | ) |
| - | 5647 50 | x | − | 1 10 | × | 44351 50 | + | 1 10 | × | 24999 25 | = | 19 | − | 24999 25 | × | 3 25 | + | 24999 25 | × | 1 10 |
| - | 5647 50 | x | − | 44351 500 | + | 24999 250 | = | 19 | − | 74997 625 | + | 24999 250 |
| - | 5647 50 | x | + | 5647 500 | = | - | 1249 1250 |
Transposition :
| - | 5647 50 | x | = | - | 1249 1250 | − | 5647 500 |
Combine the items on the right of the equation:
| - | 5647 50 | x | = | - | 30733 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
30733 2500 | = | 5647 50 | 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 :
5647 50 | x | = | 30733 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 30733 2500 | ÷ | 5647 50 |
| = | 30733 2500 | × | 50 5647 |
| = | 30733 50 | × | 1 5647 |
We obtained :
| x | = | 30733 282350 |
Convert the result to decimal form :
| x | = | 0.108847 |