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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 105.73/（x+105.73） = 88.5% .
Question type: Equation
Solution:Original question:
10573 100 | ÷ | ( | x | + | 10573 100 | ) | = | 177 200 |
| Multiply both sides of the equation by: | ( | x | + | 10573 100 | ) |
10573 100 | = | 177 200 | ( | x | + | 10573 100 | ) |
10573 100 | = | 177 200 | x | + | 177 200 | × | 10573 100 |
10573 100 | = | 177 200 | x | + | 1871421 20000 |
Transposition :
| - | 177 200 | x | = | 1871421 20000 | − | 10573 100 |
Combine the items on the right of the equation:
| - | 177 200 | x | = | - | 243179 20000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
243179 20000 | = | 177 200 | 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 :
177 200 | x | = | 243179 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 243179 20000 | ÷ | 177 200 |
| = | 243179 20000 | × | 200 177 |
| = | 243179 100 | × | 1 177 |
We obtained :
| x | = | 243179 17700 |
Convert the result to decimal form :
| x | = | 13.738927 |