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Work: Find the solution of equation (4—2x)(30—2x) = 600 .
Question type: Equation
Solution:Original question:| | ( | 4 | − | 2 | x | ) | ( | 30 | − | 2 | x | ) | = | 600 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 4 | ( | 30 | − | 2 | x | ) | − | 2 | x | ( | 30 | − | 2 | x | ) |
| = | 4 | × | 30 | − | 4 | × | 2 | x | − | 2 | x | ( | 30 | − | 2 | x | ) |
| = | 120 | − | 8 | x | − | 2 | x | ( | 30 | − | 2 | x | ) |
| = | 120 | − | 8 | x | − | 2 | x | × | 30 | + | 2 | x | × | 2 | x |
| = | 120 | − | 8 | x | − | 60 | x | + | 4 | x | x |
The equation is transformed into :
The solution of the equation:
x1≈-5.365425 , keep 6 decimal places
x2≈22.365425 , keep 6 decimal places
There are 2 solution(s).
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