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Work: Find the solution of equation 0.6 = x*0.38/(1+(x-1)*0.38) .
Question type: Equation
Solution:Original question:| | 3 5 | = | x | × | 19 50 | ÷ | ( | 1 | + | ( | x | − | 1 | ) | × | 19 50 | ) |
| Multiply both sides of the equation by: | ( | 1 | + | ( | x | − | 1 | ) | × | 19 50 | ) |
| | 3 5 | ( | 1 | + | ( | x | − | 1 | ) | × | 19 50 | ) | = | x | × | 19 50 |
Remove a bracket on the left of the equation:：
| | 3 5 | × | 1 | + | 3 5 | ( | x | − | 1 | ) | × | 19 50 | = | x | × | 19 50 |
The equation is reduced to :
| | 3 5 | + | 57 250 | ( | x | − | 1 | ) | = | x | × | 19 50 |
Remove a bracket on the left of the equation:
| | 3 5 | + | 57 250 | x | − | 57 250 | × | 1 | = | 19 50 | x |
The equation is reduced to :
| | 3 5 | + | 57 250 | x | − | 57 250 | = | 19 50 | x |
The equation is reduced to :
Transposition :
| | 57 250 | x | − | 19 50 | x | = | - | 93 250 |
Combine the items on the left of the equation:
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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