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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 100*x+80*80*(6-x) = 12204.06 .
Question type: Equation
Solution:Original question:
| 100 | x | + | 80 | × | 80 | ( | 6 | − | x | ) | = | 610203 50 |
| Left side of the equation = | 100 | x | + | 6400 | ( | 6 | − | x | ) |
| 100 | x | + | 6400 | ( | 6 | − | x | ) | = | 610203 50 |
| Left side of the equation = | 100 | x | + | 6400 | × | 6 | − | 6400 | x |
| = | 100 | x | + | 38400 | − | 6400 | x |
| = | - | 6300 | x | + | 38400 |
| - | 6300 | x | + | 38400 | = | 610203 50 |
Transposition :
| - | 6300 | x | = | 610203 50 | − | 38400 |
Combine the items on the right of the equation:
| - | 6300 | x | = | - | 1309797 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1309797 50 | = | 6300 | 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 :
| 6300 | x | = | 1309797 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1309797 50 | ÷ | 6300 |
| = | 1309797 50 | × | 1 6300 |
| = | 145533 50 | × | 1 700 |
We obtained :
| x | = | 145533 35000 |
Convert the result to decimal form :
| x | = | 4.158086 |