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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 43.39/x = 3639.88/(1+x) .
Question type: Equation
Solution:Original question:
4339 100 | ÷ | x | = | 90997 25 | ÷ | ( | 1 | + | x | ) |
| Multiply both sides of the equation by: | x | , | ( | 1 | + | x | ) |
4339 100 | ( | 1 | + | x | ) | = | 90997 25 | x |
4339 100 | × | 1 | + | 4339 100 | x | = | 90997 25 | x |
4339 100 | + | 4339 100 | x | = | 90997 25 | x |
Transposition :
4339 100 | x | − | 90997 25 | x | = | - | 4339 100 |
Combine the items on the left of the equation:
| - | 359649 100 | x | = | - | 4339 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4339 100 | = | 359649 100 | 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 :
359649 100 | x | = | 4339 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4339 100 | ÷ | 359649 100 |
| = | 4339 100 | × | 100 359649 |
| = | 4339 | × | 1 359649 |
We obtained :
| x | = | 4339 359649 |
Convert the result to decimal form :
| x | = | 0.012065 |