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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) = 0.6771 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 6771 10000 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 6771 10000 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 6771 10000 | × | 1 | + | 6771 10000 | × | 73 50 | x |
123 50 | x | = | 6771 10000 | + | 494283 500000 | x |
Transposition :
123 50 | x | − | 494283 500000 | x | = | 6771 10000 |
Combine the items on the left of the equation:
735717 500000 | x | = | 6771 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6771 10000 | ÷ | 735717 500000 |
| = | 6771 10000 | × | 500000 735717 |
| = | 2257 | × | 50 245239 |
We obtained :
| x | = | 112850 245239 |
Convert the result to decimal form :
| x | = | 0.460163 |