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Work: Find the solution of equation 3000/x-3240/（1+20％）x = 0 .
Question type: Equation
Solution:Original question:| | 3000 | ÷ | x | − | 3240 | ÷ | ( | 1 | + | 20 100 | ) | × | x | = | 0 |
| Multiply both sides of the equation by: | x |
| | 3000 | − | 3240 | ÷ | ( | 1 | + | 20 100 | ) | × | x | x | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | 20 100 | ) |
| | 3000 | ( | 1 | + | 20 100 | ) | − | 3240 | x | x | = | 0 |
Remove a bracket on the left of the equation:
| | 3000 | × | 1 | + | 3000 | × | 20 100 | − | 3240 | x | x | = | 0 |
The equation is reduced to :
| | 3000 | + | 600 | − | 3240 | x | x | = | 0 |
The equation is reduced to :
After the equation is converted into a general formula, it is converted into:
( 3x +√10 )( 3x - √10 )=0
From
3x +√10 = 0
3x - √10 = 0
it is concluded that:：
There are 2 solution(s).
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