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It supports mathematical functions (including trigonometric functions).
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 x(x+1)(x+2)(x+3)(x+4)(x+5)(x+6) = 0 .
Question type: Equation
Solution:Original question:
| x | ( | x | + | 1 | ) | ( | x | + | 2 | ) | ( | x | + | 3 | ) | ( | x | + | 4 | ) | ( | x | + | 5 | ) | ( | x | + | 6 | ) | = | 0 |
| Left side of the equation = | x | x | ( | x | + | 2 | ) | ( | x | + | 3 | ) | ( | x | + | 4 | ) | ( | x | + | 5 | ) | ( | x | + | 6 | ) | + | x | × | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | ( | x | + | 4 | ) |
| = | x | x | x | ( | x | + | 3 | ) | ( | x | + | 4 | ) | ( | x | + | 5 | ) | ( | x | + | 6 | ) | + | x | x | × | 2 | ( | x | + | 3 | ) | ( | x | + | 4 | ) |
| = | x | x | x | x | ( | x | + | 4 | ) | ( | x | + | 5 | ) | ( | x | + | 6 | ) | + | x | x | x | × | 3 | ( | x | + | 4 | ) |
| = | x | x | x | x | x | ( | x | + | 5 | ) | ( | x | + | 6 | ) | + | x | x | x | x | × | 4 |
| = | x | x | x | x | x | x | ( | x | + | 6 | ) | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
After the equation is converted into a general formula, it is converted into:
( x + 6 )( x + 5 )( x + 4 )( x + 3 )( x + 2 )( x + 1 )( x +0 )=0
From
x + 6 = 0
x + 5 = 0
x + 4 = 0
x + 3 = 0
x + 2 = 0
x + 1 = 0
x + 0 = 0
it is concluded that:：
x1=-6
x2=-5
x3=-4
x4=-3
x5=-2
x6=-1
x7=0
There are 7 solution(s).
解程的详细方法请参阅：《方程的解法》