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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(94296.52-x)/0.03 = 1267500 .
Question type: Equation
Solution:Original question:
113 100 | x | ÷ | 13 100 | + | 103 100 | ( | 2357413 25 | − | x | ) | ÷ | 3 100 | = | 1267500 |
| Left side of the equation = | 113 13 | x | + | 103 3 | ( | 2357413 25 | − | x | ) |
113 13 | x | + | 103 3 | ( | 2357413 25 | − | x | ) | = | 1267500 |
| Left side of the equation = | 113 13 | x | + | 103 3 | × | 2357413 25 | − | 103 3 | x |
| = | 113 13 | x | + | 242813539 75 | − | 103 3 | x |
| = | - | 1000 39 | x | + | 242813539 75 |
| - | 1000 39 | x | + | 242813539 75 | = | 1267500 |
Transposition :
| - | 1000 39 | x | = | 1267500 | − | 242813539 75 |
Combine the items on the right of the equation:
| - | 1000 39 | x | = | - | 147751039 75 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
147751039 75 | = | 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 | = | 147751039 75 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 147751039 75 | ÷ | 1000 39 |
| = | 147751039 75 | × | 39 1000 |
| = | 147751039 25 | × | 13 1000 |
We obtained :
| x | = | 1920763507 25000 |
Convert the result to decimal form :
| x | = | 76830.54028 |