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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 0.571 = (2.46x)/(1+1.46x) .
Question type: Equation
Solution:Original question:
571 1000 | = | ( | 123 50 | x | ) | ÷ | ( | 1 | + | 73 50 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
571 1000 | ( | 1 | + | 73 50 | x | ) | = | ( | 123 50 | x | ) |
571 1000 | × | 1 | + | 571 1000 | × | 73 50 | x | = | ( | 123 50 | x | ) |
571 1000 | × | 1 | + | 571 1000 | × | 73 50 | x | = | 123 50 | x |
571 1000 | + | 41683 50000 | x | = | 123 50 | x |
Transposition :
41683 50000 | x | − | 123 50 | x | = | - | 571 1000 |
Combine the items on the left of the equation:
| - | 81317 50000 | x | = | - | 571 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
571 1000 | = | 81317 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 :
81317 50000 | x | = | 571 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 571 1000 | ÷ | 81317 50000 |
| = | 571 1000 | × | 50000 81317 |
| = | 571 | × | 50 81317 |
We obtained :
| x | = | 28550 81317 |
Convert the result to decimal form :
| x | = | 0.351095 |