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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 (100-x)(20.18+0.64)+x = 25.9 .
Question type: Equation
Solution:Original question:
| ( | 100 | − | x | ) | ( | 1009 50 | + | 16 25 | ) | + | x | = | 259 10 |
| Left side of the equation = | 100 | ( | 1009 50 | + | 16 25 | ) | − | x | ( | 1009 50 | + | 16 25 | ) | + | x |
| = | 100 | × | 1009 50 | + | 100 | × | 16 25 | − | x | ( | 1009 50 | + | 16 25 | ) | + | x |
| = | 2018 | + | 64 | − | x | ( | 1009 50 | + | 16 25 | ) | + | x |
| = | 2082 | − | x | ( | 1009 50 | + | 16 25 | ) | + | x |
| = | 2082 | − | x | × | 1009 50 | − | x | × | 16 25 | + | x |
| = | 2082 | − | 991 50 | x |
| 2082 | − | 991 50 | x | = | 259 10 |
Transposition :
| - | 991 50 | x | = | 259 10 | − | 2082 |
Combine the items on the right of the equation:
| - | 991 50 | x | = | - | 20561 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
20561 10 | = | 991 50 | 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 :
991 50 | x | = | 20561 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 20561 10 | ÷ | 991 50 |
| = | 20561 10 | × | 50 991 |
| = | 20561 | × | 5 991 |
We obtained :
| x | = | 102805 991 |
Convert the result to decimal form :
| x | = | 103.738648 |