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Work: Find the solution of equation (100-X)20(70-X) = 720 .
Question type: Equation
Solution:Original question:| | ( | 100 | − | X | ) | × | 20 | ( | 70 | − | X | ) | = | 720 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 100 | × | 20 | ( | 70 | − | X | ) | − | X | × | 20 | ( | 70 | − | X | ) |
| = | 2000 | ( | 70 | − | X | ) | − | X | × | 20 | ( | 70 | − | X | ) |
| = | 2000 | × | 70 | − | 2000 | X | − | X | × | 20 | ( | 70 | − | X | ) |
| = | 140000 | − | 2000 | X | − | X | × | 20 | ( | 70 | − | X | ) |
| = | 140000 | − | 2000 | X | − | X | × | 20 | × | 70 | + | X | × | 20 | X |
| = | 140000 | − | 2000 | X | − | X | × | 1400 | + | X | × | 20 | X |
| = | 140000 | − | 3400 | X | + | X | × | 20 | X |
The equation is transformed into :
| | 140000 | − | 3400 | X | + | X | × | 20 | X | = | 720 |
The solution of the equation:
X1≈68.844506 , keep 6 decimal places
X2≈101.155494 , keep 6 decimal places
There are 2 solution(s).
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