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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 0.477 = (2.46x)/(1+1.46x) .
Question type: Equation
Solution:Original question:
477 1000 | = | ( | 123 50 | x | ) | ÷ | ( | 1 | + | 73 50 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
477 1000 | ( | 1 | + | 73 50 | x | ) | = | ( | 123 50 | x | ) |
477 1000 | × | 1 | + | 477 1000 | × | 73 50 | x | = | ( | 123 50 | x | ) |
477 1000 | × | 1 | + | 477 1000 | × | 73 50 | x | = | 123 50 | x |
477 1000 | + | 34821 50000 | x | = | 123 50 | x |
Transposition :
34821 50000 | x | − | 123 50 | x | = | - | 477 1000 |
Combine the items on the left of the equation:
| - | 88179 50000 | x | = | - | 477 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
477 1000 | = | 88179 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 :
88179 50000 | x | = | 477 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 477 1000 | ÷ | 88179 50000 |
| = | 477 1000 | × | 50000 88179 |
| = | 159 | × | 50 29393 |
We obtained :
| x | = | 7950 29393 |
Convert the result to decimal form :
| x | = | 0.270473 |