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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) = 0.763 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 763 1000 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 763 1000 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 763 1000 | × | 1 | + | 763 1000 | × | 73 50 | x |
123 50 | x | = | 763 1000 | + | 55699 50000 | x |
Transposition :
123 50 | x | − | 55699 50000 | x | = | 763 1000 |
Combine the items on the left of the equation:
67301 50000 | x | = | 763 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 763 1000 | ÷ | 67301 50000 |
| = | 763 1000 | × | 50000 67301 |
| = | 763 | × | 50 67301 |
We obtained :
| x | = | 38150 67301 |
Convert the result to decimal form :
| x | = | 0.566856 |