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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)/100+x = 25.9 .
Question type: Equation
Solution:Original question:
| ( | 100 | − | x | ) | ( | 1009 50 | + | 16 25 | ) | ÷ | 100 | + | x | = | 259 10 |
| Left side of the equation = | 100 | ( | 1009 50 | + | 16 25 | ) | × | 1 100 | − | x | ( | 1009 50 | + | 16 25 | ) | × | 1 100 | + | x |
| = | 1 | ( | 1009 50 | + | 16 25 | ) | − | x | ( | 1009 50 | + | 16 25 | ) | × | 1 100 | + | x |
| = | 1 | × | 1009 50 | + | 1 | × | 16 25 | − | x | ( | 1009 50 | + | 16 25 | ) | × | 1 100 | + | x |
| = | 1009 50 | + | 16 25 | − | x | ( | 1009 50 | + | 16 25 | ) | × | 1 100 | + | x |
| = | 1041 50 | − | x | ( | 1009 50 | + | 16 25 | ) | × | 1 100 | + | x |
| = | 1041 50 | − | x | × | 1009 50 | × | 1 100 | − | x | × | 16 25 | × | 1 100 | + | x |
| = | 1041 50 | − | x | × | 1009 5000 | − | x | × | 4 625 | + | x |
| = | 1041 50 | + | 3959 5000 | x |
1041 50 | + | 3959 5000 | x | = | 259 10 |
Transposition :
3959 5000 | x | = | 259 10 | − | 1041 50 |
Combine the items on the right of the equation:
3959 5000 | x | = | 127 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 127 25 | ÷ | 3959 5000 |
| = | 127 25 | × | 5000 3959 |
| = | 127 | × | 200 3959 |
We obtained :
| x | = | 25400 3959 |
Convert the result to decimal form :
| x | = | 6.415762 |