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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 10.000136/(1+x) = 8.547125 .
Question type: Equation
Solution:Original question:
1250017 125000 | ÷ | ( | 1 | + | x | ) | = | 68377 8000 |
| Multiply both sides of the equation by: | ( | 1 | + | x | ) |
1250017 125000 | = | 68377 8000 | ( | 1 | + | x | ) |
1250017 125000 | = | 68377 8000 | × | 1 | + | 68377 8000 | x |
1250017 125000 | = | 68377 8000 | + | 68377 8000 | x |
Transposition :
| - | 68377 8000 | x | = | 68377 8000 | − | 1250017 125000 |
Combine the items on the right of the equation:
| - | 68377 8000 | x | = | - | 1453011 1000000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1453011 1000000 | = | 68377 8000 | 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 :
68377 8000 | x | = | 1453011 1000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1453011 1000000 | ÷ | 68377 8000 |
| = | 1453011 1000000 | × | 8000 68377 |
| = | 1453011 125 | × | 1 68377 |
We obtained :
| x | = | 1453011 8547125 |
Convert the result to decimal form :
| x | = | 0.17 |