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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 （85-x）/（x-51） = 17.7 .
Question type: Equation
Solution:Original question:
| ( | 85 | − | x | ) | ÷ | ( | x | − | 51 | ) | = | 177 10 |
| Multiply both sides of the equation by: | ( | x | − | 51 | ) |
| ( | 85 | − | x | ) | = | 177 10 | ( | x | − | 51 | ) |
| 85 | − | x | = | 177 10 | ( | x | − | 51 | ) |
| 85 | − | x | = | 177 10 | x | − | 177 10 | × | 51 |
| 85 | − | x | = | 177 10 | x | − | 9027 10 |
Transposition :
| - | x | − | 177 10 | x | = | - | 9027 10 | − | 85 |
Combine the items on the left of the equation:
| - | 187 10 | x | = | - | 9027 10 | − | 85 |
Combine the items on the right of the equation:
| - | 187 10 | x | = | - | 9877 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9877 10 | = | 187 10 | 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 :
187 10 | x | = | 9877 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9877 10 | ÷ | 187 10 |
| = | 9877 10 | × | 10 187 |
| = | 9877 | × | 1 187 |
We obtained :
| x | = | 9877 187 |
By reducing fraction, we can get:
| x | = | 581 11 |
Convert the result to decimal form :
| x | = | 52.818182 |