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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) = 0.2504 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 313 1250 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 313 1250 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 313 1250 | × | 1 | + | 313 1250 | × | 73 50 | x |
123 50 | x | = | 313 1250 | + | 22849 62500 | x |
Transposition :
123 50 | x | − | 22849 62500 | x | = | 313 1250 |
Combine the items on the left of the equation:
130901 62500 | x | = | 313 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 313 1250 | ÷ | 130901 62500 |
| = | 313 1250 | × | 62500 130901 |
| = | 313 | × | 50 130901 |
We obtained :
| x | = | 15650 130901 |
Convert the result to decimal form :
| x | = | 0.119556 |