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Work: Find the solution of equation 3.3 = 1.25*(1+x/100)-0.000001*x .
Question type: Equation
Solution:Original question:| | 33 10 | = | 5 4 | ( | 1 | + | x | ÷ | 100 | ) | − | 1 1000000 | x |
Remove the bracket on the right of the equation:
| Right side of the equation = | 5 4 | × | 1 | + | 5 4 | x | ÷ | 100 | − | 1 1000000 | x |
| = | 5 4 | + | 1 80 | x | − | 1 1000000 | x |
The equation is transformed into :
| | 33 10 | = | 5 4 | + | 12499 1000000 | x |
Transposition :
| | - | 12499 1000000 | x | = | 5 4 | − | 33 10 |
Combine the items on the right of the equation:
| | - | 12499 1000000 | x | = | - | 41 20 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
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