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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 1/(0.0005585*x+1) = 3.1122 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | ( | 1117 2000000 | x | + | 1 | ) | = | 15561 5000 |
| Multiply both sides of the equation by: | ( | 1117 2000000 | x | + | 1 | ) |
| 1 | = | 15561 5000 | ( | 1117 2000000 | x | + | 1 | ) |
| 1 | = | 15561 5000 | × | 1117 2000000 | x | + | 15561 5000 | × | 1 |
| 1 | = | 17381637 10000000000 | x | + | 15561 5000 |
Transposition :
| - | 17381637 10000000000 | x | = | 15561 5000 | − | 1 |
Combine the items on the right of the equation:
| - | 17381637 10000000000 | x | = | 10561 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 10561 5000 | = | 17381637 10000000000 | 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 :
17381637 10000000000 | x | = | - | 10561 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 10561 5000 | ÷ | 17381637 10000000000 |
| = | - | 10561 5000 | × | 10000000000 17381637 |
| = | - | 10561 | × | 2000000 17381637 |
We obtained :
| x | = | - | 21122000000 17381637 |