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Work: Find the solution of equation (x-250)(8+290-x/5x4) = 480 .
Question type: Equation
Solution:Original question:| | ( | x | − | 250 | ) | ( | 8 | + | 290 | − | x | ÷ | 5 | × | x | × | 4 | ) | = | 480 |
Remove the bracket on the left of the equation:
| Left side of the equation = | x | ( | 8 | + | 290 | − | x | ÷ | 5 | × | x | × | 4 | ) | − | 250 | ( | 8 | + | 290 | − | x | ÷ | 5 | × | x | × | 4 | ) |
| = | x | × | 8 | + | x | × | 290 | − | x | x | ÷ | 5 | × | x | × | 4 | − | 250 | ( | 8 | + | 290 | − | x | ÷ | 5 | × | x | × | 4 | ) |
| = | x | × | 8 | + | x | × | 290 | − | x | x | × | 4 5 | x | − | 250 | ( | 8 | + | 290 | − | x | ÷ | 5 | × | x | × | 4 | ) |
| = | 298 | x | − | x | x | × | 4 5 | x | − | 250 | ( | 8 | + | 290 | − | x | ÷ | 5 | × | x | × | 4 | ) |
| = | 298 | x | − | x | x | × | 4 5 | x | − | 250 | × | 8 | − | 250 | × | 290 | + | 250 | x |
| = | 298 | x | − | x | x | × | 4 5 | x | − | 2000 | − | 72500 | + | 200 | x | x |
| = | 298 | x | − | x | x | × | 4 5 | x | − | 74500 | + | 200 | x | x |
The equation is transformed into :
| | 298 | x | − | x | x | × | 4 5 | x | − | 74500 | + | 200 | x | x | = | 480 |
The solution of the equation:
x1≈-19.357880 , keep 6 decimal places
x2≈19.367538 , keep 6 decimal places
There are 2 solution(s).
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