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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 X/1.13*0.13+(100-X)/1.03*0.03 = 8.25 .
Question type: Equation
Solution:Original question:
| X | ÷ | 113 100 | × | 13 100 | + | ( | 100 | − | X | ) | ÷ | 103 100 | × | 3 100 | = | 33 4 |
| Left side of the equation = | X | × | 13 113 | + | ( | 100 | − | X | ) | × | 3 103 |
13 113 | X | + | ( | 100 | − | X | ) | × | 3 103 | = | 33 4 |
| Left side of the equation = | 13 113 | X | + | 100 | × | 3 103 | − | X | × | 3 103 |
| = | 13 113 | X | + | 300 103 | − | X | × | 3 103 |
| = | 1000 11639 | X | + | 300 103 |
1000 11639 | X | + | 300 103 | = | 33 4 |
Transposition :
1000 11639 | X | = | 33 4 | − | 300 103 |
Combine the items on the right of the equation:
1000 11639 | X | = | 2199 412 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2199 412 | ÷ | 1000 11639 |
| = | 2199 412 | × | 11639 1000 |
We obtained :
| X | = | 25594161 412000 |
By reducing fraction, we can get:
| X | = | 248487 4000 |
Convert the result to decimal form :
| X | = | 62.12175 |