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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) = 0.3648 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 228 625 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 228 625 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 228 625 | × | 1 | + | 228 625 | × | 73 50 | x |
123 50 | x | = | 228 625 | + | 8322 15625 | x |
Transposition :
123 50 | x | − | 8322 15625 | x | = | 228 625 |
Combine the items on the left of the equation:
60231 31250 | x | = | 228 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 228 625 | ÷ | 60231 31250 |
| = | 228 625 | × | 31250 60231 |
| = | 76 | × | 50 20077 |
We obtained :
| x | = | 3800 20077 |
Convert the result to decimal form :
| x | = | 0.189271 |