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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-1.829）÷（x-1） = 0.83 .
Question type: Equation
Solution:Original question:
| ( | x | − | 1829 1000 | ) | ÷ | ( | x | − | 1 | ) | = | 83 100 |
| Multiply both sides of the equation by: | ( | x | − | 1 | ) |
| ( | x | − | 1829 1000 | ) | = | 83 100 | ( | x | − | 1 | ) |
| x | − | 1829 1000 | = | 83 100 | ( | x | − | 1 | ) |
| x | − | 1829 1000 | = | 83 100 | x | − | 83 100 | × | 1 |
| x | − | 1829 1000 | = | 83 100 | x | − | 83 100 |
Transposition :
| x | − | 83 100 | x | = | - | 83 100 | + | 1829 1000 |
Combine the items on the left of the equation:
17 100 | x | = | - | 83 100 | + | 1829 1000 |
Combine the items on the right of the equation:
17 100 | x | = | 999 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 999 1000 | ÷ | 17 100 |
| = | 999 1000 | × | 100 17 |
| = | 999 10 | × | 1 17 |
We obtained :
| x | = | 999 170 |
Convert the result to decimal form :
| x | = | 5.876471 |