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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/1.03*0.03+(120000-X)/1.01*0.01 = 2744.88 .
Question type: Equation
Solution:Original question:
| x | ÷ | 103 100 | × | 3 100 | + | ( | 120000 | − | x | ) | ÷ | 101 100 | × | 1 100 | = | 68622 25 |
| Left side of the equation = | x | × | 3 103 | + | ( | 120000 | − | x | ) | × | 1 101 |
3 103 | x | + | ( | 120000 | − | x | ) | × | 1 101 | = | 68622 25 |
| Left side of the equation = | 3 103 | x | + | 120000 | × | 1 101 | − | x | × | 1 101 |
| = | 3 103 | x | + | 120000 101 | − | x | × | 1 101 |
| = | 200 10403 | x | + | 120000 101 |
200 10403 | x | + | 120000 101 | = | 68622 25 |
Transposition :
200 10403 | x | = | 68622 25 | − | 120000 101 |
Combine the items on the right of the equation:
200 10403 | x | = | 3930822 2525 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3930822 2525 | ÷ | 200 10403 |
| = | 3930822 2525 | × | 10403 200 |
| = | 1965411 2525 | × | 10403 100 |
We obtained :
| x | = | 20446170633 252500 |