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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 1.13x/0.13+1.03(99499-x)/0.03 = 1200000 .
Question type: Equation
Solution:Original question:
113 100 | x | ÷ | 13 100 | + | 103 100 | ( | 99499 | − | x | ) | ÷ | 3 100 | = | 1200000 |
| Left side of the equation = | 113 13 | x | + | 103 3 | ( | 99499 | − | x | ) |
113 13 | x | + | 103 3 | ( | 99499 | − | x | ) | = | 1200000 |
| Left side of the equation = | 113 13 | x | + | 103 3 | × | 99499 | − | 103 3 | x |
| = | 113 13 | x | + | 10248397 3 | − | 103 3 | x |
| = | - | 1000 39 | x | + | 10248397 3 |
| - | 1000 39 | x | + | 10248397 3 | = | 1200000 |
Transposition :
| - | 1000 39 | x | = | 1200000 | − | 10248397 3 |
Combine the items on the right of the equation:
| - | 1000 39 | x | = | - | 6648397 3 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6648397 3 | = | 1000 39 | 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 :
1000 39 | x | = | 6648397 3 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6648397 3 | ÷ | 1000 39 |
| = | 6648397 3 | × | 39 1000 |
| = | 6648397 | × | 13 1000 |
We obtained :
| x | = | 86429161 1000 |
Convert the result to decimal form :
| x | = | 86429.161 |