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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 0.974 = 2.455*x/(1+1.455*x) .
Question type: Equation
Solution:Original question:
487 500 | = | 491 200 | x | ÷ | ( | 1 | + | 291 200 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 291 200 | x | ) |
487 500 | ( | 1 | + | 291 200 | x | ) | = | 491 200 | x |
487 500 | × | 1 | + | 487 500 | × | 291 200 | x | = | 491 200 | x |
487 500 | + | 141717 100000 | x | = | 491 200 | x |
Transposition :
141717 100000 | x | − | 491 200 | x | = | - | 487 500 |
Combine the items on the left of the equation:
| - | 103783 100000 | x | = | - | 487 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
487 500 | = | 103783 100000 | 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 :
103783 100000 | x | = | 487 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 487 500 | ÷ | 103783 100000 |
| = | 487 500 | × | 100000 103783 |
| = | 487 | × | 200 103783 |
We obtained :
| x | = | 97400 103783 |
Convert the result to decimal form :
| x | = | 0.938497 |