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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 30*24-（30-2x）（24-2x） = 80 .
Question type: Equation
Solution:Original question:
| 30 | × | 24 | − | ( | 30 | − | 2 | x | ) | ( | 24 | − | 2 | x | ) | = | 80 |
| Left side of the equation = | 720 | − | ( | 30 | − | 2 | x | ) | ( | 24 | − | 2 | x | ) |
| 720 | − | ( | 30 | − | 2 | x | ) | ( | 24 | − | 2 | x | ) | = | 80 |
| Left side of the equation = | 720 | − | 30 | ( | 24 | − | 2 | x | ) | + | 2 | x | ( | 24 | − | 2 | x | ) |
| = | 720 | − | 30 | × | 24 | + | 30 | × | 2 | x | + | 2 | x | ( | 24 | − | 2 | x | ) |
| = | 720 | − | 720 | + | 60 | x | + | 2 | x | ( | 24 | − | 2 | x | ) |
| = | 0 | + | 60 | x | + | 2 | x | ( | 24 | − | 2 | x | ) |
| = | 0 | + | 60 | x | + | 2 | x | × | 24 | − | 2 | x | × | 2 | x |
| = | 0 | + | 60 | x | + | 48 | x | − | 4 | x | x |
| = | 0 | + | 108 | x | − | 4 | x | x |
| 0 | + | 108 | x | − | 4 | x | x | = | 80 |
The solution of the equation:
x1≈0.762261 , keep 6 decimal places
x2≈26.237739 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》