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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 2.46*x/(1+1.46x) = 0.73 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 73 100 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 73 100 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 73 100 | × | 1 | + | 73 100 | × | 73 50 | x |
123 50 | x | = | 73 100 | + | 5329 5000 | x |
Transposition :
123 50 | x | − | 5329 5000 | x | = | 73 100 |
Combine the items on the left of the equation:
6971 5000 | x | = | 73 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 73 100 | ÷ | 6971 5000 |
| = | 73 100 | × | 5000 6971 |
| = | 73 | × | 50 6971 |
We obtained :
| x | = | 3650 6971 |
Convert the result to decimal form :
| x | = | 0.523598 |