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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 (102+x)/（103+x） = 99.9% .
Question type: Equation
Solution:Original question:
| ( | 102 | + | x | ) | ÷ | ( | 103 | + | x | ) | = | 999 1000 |
| Multiply both sides of the equation by: | ( | 103 | + | x | ) |
| ( | 102 | + | x | ) | = | 999 1000 | ( | 103 | + | x | ) |
| 102 | + | x | = | 999 1000 | ( | 103 | + | x | ) |
| 102 | + | x | = | 999 1000 | × | 103 | + | 999 1000 | x |
| 102 | + | x | = | 102897 1000 | + | 999 1000 | x |
Transposition :
| x | − | 999 1000 | x | = | 102897 1000 | − | 102 |
Combine the items on the left of the equation:
1 1000 | x | = | 102897 1000 | − | 102 |
Combine the items on the right of the equation:
1 1000 | x | = | 897 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 897 1000 | ÷ | 1 1000 |
| = | 897 1000 | × | 1000 |
| = | 897 | × | 1 |
We obtained :
| x | = | 897 |