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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) = 0.86 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 43 50 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 43 50 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 43 50 | × | 1 | + | 43 50 | × | 73 50 | x |
123 50 | x | = | 43 50 | + | 3139 2500 | x |
Transposition :
123 50 | x | − | 3139 2500 | x | = | 43 50 |
Combine the items on the left of the equation:
3011 2500 | x | = | 43 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 43 50 | ÷ | 3011 2500 |
| = | 43 50 | × | 2500 3011 |
| = | 43 | × | 50 3011 |
We obtained :
| x | = | 2150 3011 |
Convert the result to decimal form :
| x | = | 0.714048 |