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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 0.9575 = 2.46x/(1+1.46x) .
Question type: Equation
Solution:Original question:
383 400 | = | 123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
383 400 | ( | 1 | + | 73 50 | x | ) | = | 123 50 | x |
383 400 | × | 1 | + | 383 400 | × | 73 50 | x | = | 123 50 | x |
383 400 | + | 27959 20000 | x | = | 123 50 | x |
Transposition :
27959 20000 | x | − | 123 50 | x | = | - | 383 400 |
Combine the items on the left of the equation:
| - | 21241 20000 | x | = | - | 383 400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
383 400 | = | 21241 20000 | 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 :
21241 20000 | x | = | 383 400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 383 400 | ÷ | 21241 20000 |
| = | 383 400 | × | 20000 21241 |
| = | 383 | × | 50 21241 |
We obtained :
| x | = | 19150 21241 |
Convert the result to decimal form :
| x | = | 0.901558 |