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Work: Find the solution of equation (40-x/10)(20十X) = 1200 .
Question type: Equation
Solution:Original question:| | ( | 40 | − | x | ÷ | 10 | ) | ( | 20 | + | x | ) | = | 1200 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 40 | ( | 20 | + | x | ) | − | x | ÷ | 10 | × | ( | 20 | + | x | ) |
| = | 40 | × | 20 | + | 40 | x | − | x | × | 1 10 | ( | 20 | + | x | ) |
| = | 800 | + | 40 | x | − | x | × | 1 10 | ( | 20 | + | x | ) |
| = | 800 | + | 40 | x | − | x | × | 1 10 | × | 20 | − | x | × | 1 10 | x |
| = | 800 | + | 40 | x | − | x | × | 2 | − | x | × | 1 10 | x |
The equation is transformed into :
| | 800 | + | 38 | x | − | x | × | 1 10 | x | = | 1200 |
x≈10.835271 , keep 6 decimal places
There are 1 solution(s).
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