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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 (1.128-x)*(50-48.2) = (x-1.093)*8.2 .
Question type: Equation
Solution:Original question:
| ( | 141 125 | − | x | ) | ( | 50 | − | 241 5 | ) | = | ( | x | − | 1093 1000 | ) | × | 41 5 |
| Left side of the equation = | 141 125 | ( | 50 | − | 241 5 | ) | − | x | ( | 50 | − | 241 5 | ) |
| = | 141 125 | × | 50 | − | 141 125 | × | 241 5 | − | x | ( | 50 | − | 241 5 | ) |
| = | 282 5 | − | 33981 625 | − | x | ( | 50 | − | 241 5 | ) |
| = | 1269 625 | − | x | ( | 50 | − | 241 5 | ) |
| = | 1269 625 | − | x | × | 50 | + | x | × | 241 5 |
| = | 1269 625 | − | 9 5 | x |
1269 625 | − | 9 5 | x | = | ( | x | − | 1093 1000 | ) | × | 41 5 |
| Right side of the equation = | x | × | 41 5 | − | 1093 1000 | × | 41 5 |
| = | x | × | 41 5 | − | 44813 5000 |
1269 625 | − | 9 5 | x | = | 41 5 | x | − | 44813 5000 |
Transposition :
| - | 9 5 | x | − | 41 5 | x | = | - | 44813 5000 | − | 1269 625 |
Combine the items on the left of the equation:
| - | 10 | x | = | - | 44813 5000 | − | 1269 625 |
Combine the items on the right of the equation:
| - | 10 | x | = | - | 10993 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
10993 1000 | = | 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 :
| 10 | x | = | 10993 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10993 1000 | ÷ | 10 |
| = | 10993 1000 | × | 1 10 |
We obtained :
| x | = | 10993 10000 |
Convert the result to decimal form :
| x | = | 1.0993 |