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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) = 0.2469 .
Question type: Equation
Solution:Original question:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 2.46x/(1+1.46x) = 0.2469 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 2469 10000 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 2469 10000 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 2469 10000 | × | 1 | + | 2469 10000 | × | 73 50 | x |
123 50 | x | = | 2469 10000 | + | 180237 500000 | x |
Transposition :
123 50 | x | − | 180237 500000 | x | = | 2469 10000 |
Combine the items on the left of the equation:
1049763 500000 | x | = | 2469 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2469 10000 | ÷ | 1049763 500000 |
| = | 2469 10000 | × | 500000 1049763 |
| = | 823 | × | 50 349921 |
We obtained :
| x | = | 41150 349921 |
Convert the result to decimal form :
| x | = | 0.117598 |