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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 (328992.86-X)/1.13*0.13+X/1.09*0.09 = 30547.01 .
Question type: Equation
Solution:Original question:
| ( | 16449643 50 | − | X | ) | ÷ | 113 100 | × | 13 100 | + | X | ÷ | 109 100 | × | 9 100 | = | 3054701 100 |
| Left side of the equation = | ( | 16449643 50 | − | X | ) | × | 13 113 | + | X | × | 9 109 |
| ( | 16449643 50 | − | X | ) | × | 13 113 | + | 9 109 | X | = | 3054701 100 |
| Left side of the equation = | 16449643 50 | × | 13 113 | − | X | × | 13 113 | + | 9 109 | X |
| = | 213845359 5650 | − | X | × | 13 113 | + | 9 109 | X |
| = | 213845359 5650 | − | 400 12317 | X |
213845359 5650 | − | 400 12317 | X | = | 3054701 100 |
Transposition :
| - | 400 12317 | X | = | 3054701 100 | − | 213845359 5650 |
Combine the items on the right of the equation:
| - | 400 12317 | X | = | - | 16501901 2260 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
16501901 2260 | = | 400 12317 | 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 :
400 12317 | X | = | 16501901 2260 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 16501901 2260 | ÷ | 400 12317 |
| = | 16501901 2260 | × | 12317 400 |
We obtained :
| X | = | 203253914617 904000 |