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[ 1/1 Equation]
Work: Find the solution of equation (2-x)/2 = 0.1542*0.6842*x/(1+0.6842*x) .
Question type: Equation
Solution:Original question:| | ( | 2 | − | x | ) | ÷ | 2 | = | 771 5000 | × | 3421 5000 | x | ÷ | ( | 1 | + | 3421 5000 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 3421 5000 | x | ) |
| | ( | 2 | − | x | ) | ÷ | 2 | × | ( | 1 | + | 3421 5000 | x | ) | = | 771 5000 | × | 3421 5000 | x |
Remove a bracket on the left of the equation::
| | 2 | ÷ | 2 | × | ( | 1 | + | 3421 5000 | x | ) | − | x | ÷ | 2 | × | ( | 1 | + | 3421 5000 | x | ) | = | 771 5000 | × | 3421 5000 | x |
The equation is reduced to :
| | 1 | ( | 1 | + | 3421 5000 | x | ) | − | x | × | 1 2 | ( | 1 | + | 3421 5000 | x | ) | = | 2637591 25000000 | x |
Remove a bracket on the left of the equation:
| | 1 | × | 1 | + | 1 | × | 3421 5000 | x | − | x | × | 1 2 | ( | 1 | + | 3421 5000 | x | ) | = | 2637591 25000000 | x |
The equation is reduced to :
| | 1 | + | 3421 5000 | x | − | x | × | 1 2 | ( | 1 | + | 3421 5000 | x | ) | = | 2637591 25000000 | x |
Remove a bracket on the left of the equation:
| | 1 | + | 3421 5000 | x | − | x | × | 1 2 | × | 1 | − | x | × | 1 2 | × | 3421 5000 | x | = | 2637591 25000000 | x |
The equation is reduced to :
| | 1 | + | 3421 5000 | x | − | x | × | 1 2 | − | x | × | 3421 10000 | x | = | 2637591 25000000 | x |
The equation is reduced to :
| | 1 | + | 921 5000 | x | − | x | × | 3421 10000 | x | = | 2637591 25000000 | x |
The solution of the equation:
x1≈-1.598559 , keep 6 decimal places
x2≈-1.461561 , keep 6 decimal places
x3≈1.828598 , keep 6 decimal places
There are 3 solution(s).
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