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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 7/(1-(1/0.577121)*x) = 0.2 .
Question type: Equation
Solution:Original question:
| 7 | ÷ | ( | 1 | − | ( | 1 | ÷ | 577121 1000000 | ) | x | ) | = | 1 5 |
| Multiply both sides of the equation by: | ( | 1 | − | ( | 1 | ÷ | 577121 1000000 | ) | x | ) |
| 7 | = | 1 5 | ( | 1 | − | ( | 1 | ÷ | 577121 1000000 | ) | x | ) |
| 7 | = | 1 5 | × | 1 | − | 1 5 | ( | 1 | ÷ | 577121 1000000 | ) | x |
| 7 | = | 1 5 | − | 1 5 | ( | 1 | ÷ | 577121 1000000 | ) | x |
| 7 | = | 1 5 | − | 1 5 | × | 1 | ÷ | 577121 1000000 | × | x |
| 7 | = | 1 5 | − | 200000 577121 | x |
Transposition :
200000 577121 | x | = | 1 5 | − | 7 |
Combine the items on the right of the equation:
200000 577121 | x | = | - | 34 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 34 5 | ÷ | 200000 577121 |
| = | - | 34 5 | × | 577121 200000 |
| = | - | 17 5 | × | 577121 100000 |
We obtained :
| x | = | - | 9811057 500000 |
Convert the result to decimal form :
| x | = | - 19.622114 |