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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 0.738 = 2.45*x/(1+1.45*x) .
Question type: Equation
Solution:Original question:
369 500 | = | 49 20 | x | ÷ | ( | 1 | + | 29 20 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 29 20 | x | ) |
369 500 | ( | 1 | + | 29 20 | x | ) | = | 49 20 | x |
369 500 | × | 1 | + | 369 500 | × | 29 20 | x | = | 49 20 | x |
369 500 | + | 10701 10000 | x | = | 49 20 | x |
Transposition :
10701 10000 | x | − | 49 20 | x | = | - | 369 500 |
Combine the items on the left of the equation:
| - | 13799 10000 | x | = | - | 369 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
369 500 | = | 13799 10000 | 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 :
13799 10000 | x | = | 369 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 369 500 | ÷ | 13799 10000 |
| = | 369 500 | × | 10000 13799 |
| = | 369 | × | 20 13799 |
We obtained :
| x | = | 7380 13799 |
Convert the result to decimal form :
| x | = | 0.534821 |