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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 2.46x/(1+1.46x) = 0.9116 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 2279 2500 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 2279 2500 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 2279 2500 | × | 1 | + | 2279 2500 | × | 73 50 | x |
123 50 | x | = | 2279 2500 | + | 166367 125000 | x |
Transposition :
123 50 | x | − | 166367 125000 | x | = | 2279 2500 |
Combine the items on the left of the equation:
141133 125000 | x | = | 2279 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2279 2500 | ÷ | 141133 125000 |
| = | 2279 2500 | × | 125000 141133 |
| = | 2279 | × | 50 141133 |
We obtained :
| x | = | 113950 141133 |
Convert the result to decimal form :
| x | = | 0.807394 |