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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 （150-140）/（1.11-x） = (140-100)/(x-1.23) .
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 :
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 left of the equation:
Combine the items on the right of the equation:
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 （150-140）/（1.11-x） = (140-100)/(x-1.23) .
Question type: Equation
Solution:Original question:
| ( | 150 | − | 140 | ) | ÷ | ( | 111 100 | − | x | ) | = | ( | 140 | − | 100 | ) | ÷ | ( | x | − | 123 100 | ) |
| Multiply both sides of the equation by: | ( | 111 100 | − | x | ) | , | ( | x | − | 123 100 | ) |
| ( | 150 | − | 140 | ) | ( | x | − | 123 100 | ) | = | ( | 140 | − | 100 | ) | ( | 111 100 | − | x | ) |
| 150 | ( | x | − | 123 100 | ) | − | 140 | ( | x | − | 123 100 | ) | = | ( | 140 | − | 100 | ) | ( | 111 100 | − | x | ) |
| 150 | ( | x | − | 123 100 | ) | − | 140 | ( | x | − | 123 100 | ) | = | 140 | ( | 111 100 | − | x | ) | − | 100 | ( | 111 100 | − | x | ) |
| 150 | x | − | 150 | × | 123 100 | − | 140 | ( | x | − | 123 100 | ) | = | 140 | ( | 111 100 | − | x | ) | − | 100 | ( | 111 100 | − | x | ) |
| 150 | x | − | 150 | × | 123 100 | − | 140 | ( | x | − | 123 100 | ) | = | 140 | × | 111 100 | − | 140 | x | − | 100 | ( | 111 100 | − | x | ) |
| 150 | x | − | 369 2 | − | 140 | ( | x | − | 123 100 | ) | = | 777 5 | − | 140 | x | − | 100 | ( | 111 100 | − | x | ) |
| 150 | x | − | 369 2 | − | 140 | x | + | 140 | × | 123 100 | = | 777 5 | − | 140 | x | − | 100 | ( | 111 100 | − | x | ) |
| 150 | x | − | 369 2 | − | 140 | x | + | 140 | × | 123 100 | = | 777 5 | − | 140 | x | − | 100 | × | 111 100 | + | 100 | x |
| 150 | x | − | 369 2 | − | 140 | x | + | 861 5 | = | 777 5 | − | 140 | x | − | 111 | + | 100 | x |
| 10 | x | − | 123 10 | = | 222 5 | − | 40 | x |
Transposition :
| 10 | x | + | 40 | x | = | 222 5 | + | 123 10 |
Combine the items on the left of the equation:
| 50 | x | = | 222 5 | + | 123 10 |
Combine the items on the right of the equation:
| 50 | x | = | 567 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 567 10 | ÷ | 50 |
| = | 567 10 | × | 1 50 |
We obtained :
| x | = | 567 500 |
Convert the result to decimal form :
| x | = | 1.134 |