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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） = 0.1569 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | 100 | + | x | ) | = | 1569 10000 |
| Multiply both sides of the equation by: | ( | 100 | + | x | ) |
| x | = | 1569 10000 | ( | 100 | + | x | ) |
| x | = | 1569 10000 | × | 100 | + | 1569 10000 | x |
| x | = | 1569 100 | + | 1569 10000 | x |
Transposition :
| x | − | 1569 10000 | x | = | 1569 100 |
Combine the items on the left of the equation:
8431 10000 | x | = | 1569 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1569 100 | ÷ | 8431 10000 |
| = | 1569 100 | × | 10000 8431 |
| = | 1569 | × | 100 8431 |
We obtained :
| x | = | 156900 8431 |
Convert the result to decimal form :
| x | = | 18.609892 |