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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 0.499 = (2.46x)/(1+1.46x) .
Question type: Equation
Solution:Original question:
499 1000 | = | ( | 123 50 | x | ) | ÷ | ( | 1 | + | 73 50 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
499 1000 | ( | 1 | + | 73 50 | x | ) | = | ( | 123 50 | x | ) |
499 1000 | × | 1 | + | 499 1000 | × | 73 50 | x | = | ( | 123 50 | x | ) |
499 1000 | × | 1 | + | 499 1000 | × | 73 50 | x | = | 123 50 | x |
499 1000 | + | 36427 50000 | x | = | 123 50 | x |
Transposition :
36427 50000 | x | − | 123 50 | x | = | - | 499 1000 |
Combine the items on the left of the equation:
| - | 86573 50000 | x | = | - | 499 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
499 1000 | = | 86573 50000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
86573 50000 | x | = | 499 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 499 1000 | ÷ | 86573 50000 |
| = | 499 1000 | × | 50000 86573 |
| = | 499 | × | 50 86573 |
We obtained :
| x | = | 24950 86573 |
Convert the result to decimal form :
| x | = | 0.288196 |