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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 2*x/(200000*(1+x/200000)) = 0.09529 .
Question type: Equation
Solution:Original question:
| 2 | x | ÷ | ( | 200000 | ( | 1 | + | x | ÷ | 200000 | ) | ) | = | 9529 100000 |
| Multiply both sides of the equation by: | ( | 200000 | ( | 1 | + | x | ÷ | 200000 | ) | ) |
| 2 | x | = | 9529 100000 | ( | 200000 | ( | 1 | + | x | ÷ | 200000 | ) | ) |
| 2 | x | = | 9529 100000 | × | 200000 | ( | 1 | + | x | ÷ | 200000 | ) |
| 2 | x | = | 19058 | ( | 1 | + | x | ÷ | 200000 | ) |
| 2 | x | = | 19058 | × | 1 | + | 19058 | x | ÷ | 200000 |
| 2 | x | = | 19058 | + | 9529 100000 | x |
Transposition :
| 2 | x | − | 9529 100000 | x | = | 19058 |
Combine the items on the left of the equation:
190471 100000 | x | = | 19058 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 19058 | ÷ | 190471 100000 |
| = | 19058 | × | 100000 190471 |
We obtained :
| x | = | 1905800000 190471 |
Convert the result to decimal form :
| x | = | 10005.722656 |