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Work: Find the solution of equation (X/24)x1.2x(24x4)+(X/24)x(1.5X6x10)+X = 8000 .
Question type: Equation
Solution:Original question:| | ( | X | ÷ | 24 | ) | X | × | 6 5 | X | ( | 24 | X | × | 4 | ) | + | ( | X | ÷ | 24 | ) | X | ( | 3 2 | X | × | 6 | X | × | 10 | ) | + | X | = | 8000 |
Remove the bracket on the left of the equation:
| Left side of the equation = | X | ÷ | 24 | × | X | × | 6 5 | X | ( | 24 | X | × | 4 | ) | + | ( | X | ÷ | 24 | ) | X | ( | 3 2 | X | × | 6 | X | × | 10 | ) | + | X |
| = | X | × | 1 20 | X | X | ( | 24 | X | × | 4 | ) | + | ( | X | ÷ | 24 | ) | X | ( | 3 2 | X | × | 6 | X | × | 10 | ) | + | X |
| = | X | × | 1 20 | X | X | × | 24 | X | × | 4 | + | ( | X | ÷ | 24 | ) | X | ( | 3 2 | X | × | 6 | X | × | 10 | ) | + | X |
| = | X | × | 24 5 | X | X | X | + | ( | X | ÷ | 24 | ) | X | ( | 3 2 | X | × | 6 | X | × | 10 | ) | + | X |
| = | X | × | 24 5 | X | X | X | + | X | ÷ | 24 | × | X | ( | 3 2 | X | × | 6 | X | × | 10 | ) | + | X |
| = | X | × | 24 5 | X | X | X | + | X | × | 1 24 | X | × | 3 2 | X | × | 6 | X |
| = | X | × | 24 5 | X | X | X | + | X | × | 15 4 | X | X | X | + | X |
The equation is transformed into :
| | X | × | 24 5 | X | X | X | + | X | × | 15 4 | X | X | X | + | X | = | 8000 |
The solution of the equation:
X1≈-5.531667 , keep 6 decimal places
X2≈5.529755 , keep 6 decimal places
There are 2 solution(s).
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