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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÷（100+x） = 0.0347 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | 100 | + | x | ) | = | 347 10000 |
| Multiply both sides of the equation by: | ( | 100 | + | x | ) |
| x | = | 347 10000 | ( | 100 | + | x | ) |
| x | = | 347 10000 | × | 100 | + | 347 10000 | x |
| x | = | 347 100 | + | 347 10000 | x |
Transposition :
| x | − | 347 10000 | x | = | 347 100 |
Combine the items on the left of the equation:
9653 10000 | x | = | 347 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 347 100 | ÷ | 9653 10000 |
| = | 347 100 | × | 10000 9653 |
| = | 347 | × | 100 9653 |
We obtained :
| x | = | 34700 9653 |
Convert the result to decimal form :
| x | = | 3.594737 |