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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 39.61x/（x+39.61） = 18.5 .
Question type: Equation
Solution:Original question:
3961 100 | x | ÷ | ( | x | + | 3961 100 | ) | = | 37 2 |
| Multiply both sides of the equation by: | ( | x | + | 3961 100 | ) |
3961 100 | x | = | 37 2 | ( | x | + | 3961 100 | ) |
3961 100 | x | = | 37 2 | x | + | 37 2 | × | 3961 100 |
3961 100 | x | = | 37 2 | x | + | 146557 200 |
Transposition :
3961 100 | x | − | 37 2 | x | = | 146557 200 |
Combine the items on the left of the equation:
2111 100 | x | = | 146557 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 146557 200 | ÷ | 2111 100 |
| = | 146557 200 | × | 100 2111 |
| = | 146557 2 | × | 1 2111 |
We obtained :
| x | = | 146557 4222 |
Convert the result to decimal form :
| x | = | 34.712695 |