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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 20*x/(20+100*x) = 0.181 .
Question type: Equation
Solution:Original question:
| 20 | x | ÷ | ( | 20 | + | 100 | x | ) | = | 181 1000 |
| Multiply both sides of the equation by: | ( | 20 | + | 100 | x | ) |
| 20 | x | = | 181 1000 | ( | 20 | + | 100 | x | ) |
| 20 | x | = | 181 1000 | × | 20 | + | 181 1000 | × | 100 | x |
| 20 | x | = | 181 50 | + | 181 10 | x |
Transposition :
| 20 | x | − | 181 10 | x | = | 181 50 |
Combine the items on the left of the equation:
19 10 | x | = | 181 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 181 50 | ÷ | 19 10 |
| = | 181 50 | × | 10 19 |
| = | 181 5 | × | 1 19 |
We obtained :
| x | = | 181 95 |
Convert the result to decimal form :
| x | = | 1.905263 |