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Work: Find the solution of equation -2*x+1.8 = 2.47*x/(1+1.47*x) .
Question type: Equation
Solution:Original question:| | - | 2 | x | + | 9 5 | = | 247 100 | x | ÷ | ( | 1 | + | 147 100 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 147 100 | x | ) |
| | - | 2 | x | ( | 1 | + | 147 100 | x | ) | + | 9 5 | ( | 1 | + | 147 100 | x | ) | = | 247 100 | x |
Remove a bracket on the left of the equation::
| | - | 2 | x | × | 1 | − | 2 | x | × | 147 100 | x | + | 9 5 | ( | 1 | + | 147 100 | x | ) | = | 247 100 | x |
The equation is reduced to :
| | - | 2 | x | − | 147 50 | x | x | + | 9 5 | ( | 1 | + | 147 100 | x | ) | = | 247 100 | x |
Remove a bracket on the left of the equation:
| | - | 2 | x | − | 147 50 | x | x | + | 9 5 | × | 1 | + | 9 5 | × | 147 100 | x | = | 247 100 | x |
The equation is reduced to :
| | - | 2 | x | − | 147 50 | x | x | + | 9 5 | + | 1323 500 | x | = | 247 100 | x |
The equation is reduced to :
| | 323 500 | x | − | 147 50 | x | x | + | 9 5 | = | 247 100 | x |
The solution of the equation:
x1≈-1.151912 , keep 6 decimal places
x2≈-0.680272 , keep 6 decimal places
x3≈0.531503 , keep 6 decimal places
There are 3 solution(s).
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