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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 [(15+12)x(35-x)+(11+12)x]x2+[15x(35-x)+11x]x6 = 4400 .
Question type: Equation
Solution:Original question:
| ( | ( | 15 | + | 12 | ) | x | ( | 35 | − | x | ) | + | ( | 11 | + | 12 | ) | x | ) | x | × | 2 | + | ( | 15 | x | ( | 35 | − | x | ) | + | 11 | x | ) | x | × | 6 | = | 4400 |
| Left side of the equation = | ( | 15 | + | 12 | ) | x | ( | 35 | − | x | ) | x | × | 2 | + | ( | 11 | + | 12 | ) | x | x | × | 2 | + | ( | 15 | x | ( | 35 | − | x | ) | + | 11 | x | ) | x | × | 6 |
| = | 15 | x | ( | 35 | − | x | ) | x | × | 2 | + | 12 | x | ( | 35 | − | x | ) | x | × | 2 | + | ( | 11 | + | 12 | ) | x |
| = | 30 | x | ( | 35 | − | x | ) | x | + | 24 | x | ( | 35 | − | x | ) | x | + | ( | 11 | + | 12 | ) | x | x | × | 2 |
| = | 30 | x | × | 35 | x | − | 30 | x | x | x | + | 24 | x | ( | 35 | − | x | ) | x |
| = | 1050 | x | x | − | 30 | x | x | x | + | 24 | x | ( | 35 | − | x | ) | x | + | ( | 11 | + | 12 | ) |
| = | 1050 | x | x | − | 30 | x | x | x | + | 24 | x | × | 35 | x | − | 24 |
| = | 1050 | x | x | − | 30 | x | x | x | + | 840 | x | x | − | 24 | x |
| = | 1050 | x | x | − | 30 | x | x | x | + | 840 | x | x | − | 24 | x |
| = | 1050 | x | x | − | 30 | x | x | x | + | 840 | x | x | − | 24 | x |
| = | 1050 | x | x | − | 30 | x | x | x | + | 840 | x | x | − | 24 | x |
| = | 1050 | x | x | − | 30 | x | x | x | + | 840 | x | x | − | 24 | x |
| = | 1050 | x | x | − | 30 | x | x | x | + | 840 | x | x | − | 24 | x |
| = | 1050 | x | x | − | 30 | x | x | x | + | 840 | x | x | − | 24 | x |
| 1050 | x | x | − | 30 | x | x | x | + | 840 | x | x | − | 24 | x | = | 4400 |
The solution of the equation:
x1≈-0.912576 , keep 6 decimal places
x2≈0.936479 , keep 6 decimal places
x3≈35.753875 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》