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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 -(3X-1)(2-x)(3X+4) = 0 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
After the equation is converted into a general formula, it is converted into:
( 3X + 4 )( 3X - 1 )( X - 2 )=0
From
3X + 4 = 0
3X - 1 = 0
X - 2 = 0
it is concluded that:：
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation -(3X-1)(2-x)(3X+4) = 0 .
Question type: Equation
Solution:Original question:
| - | ( | 3 | X | − | 1 | ) | ( | 2 | − | X | ) | ( | 3 | X | + | 4 | ) | = | 0 |
| Left side of the equation = | - | 3 | X | ( | 2 | − | X | ) | ( | 3 | X | + | 4 | ) | + | 1 | ( | 2 | − | X | ) | ( | 3 | X | + | 4 | ) |
| = | - | 3 | X | × | 2 | ( | 3 | X | + | 4 | ) | + | 3 | X | X | ( | 3 | X | + | 4 | ) | + | 1 | ( | 2 | − | X | ) | ( | 3 | X | + | 4 | ) |
| = | - | 6 | X | ( | 3 | X | + | 4 | ) | + | 3 | X | X | ( | 3 | X | + | 4 | ) | + | 1 | ( | 2 | − | X | ) | ( | 3 | X | + | 4 | ) |
| = | - | 6 | X | × | 3 | X | − | 6 | X | × | 4 | + | 3 | X | X | ( | 3 | X | + | 4 | ) | + | 1 |
| = | - | 18 | X | X | − | 24 | X | + | 3 | X | X | ( | 3 | X | + | 4 | ) | + | 1 | ( | 2 | − | X | ) | ( | 3 | X | + | 4 | ) |
| = | - | 18 | X | X | − | 24 | X | + | 3 | X | X | × | 3 | X | + | 3 | X |
| = | - | 18 | X | X | − | 24 | X | + | 9 | X | X | X | + | 12 | X | X |
| = | - | 18 | X | X | − | 24 | X | + | 9 | X | X | X | + | 12 | X | X |
| = | - | 18 | X | X | − | 24 | X | + | 9 | X | X | X | + | 12 | X | X |
| = | - | 18 | X | X | − | 24 | X | + | 9 | X | X | X | + | 12 | X | X |
| = | - | 18 | X | X | − | 24 | X | + | 9 | X | X | X | + | 12 | X | X |
| = | - | 18 | X | X | − | 18 | X | + | 9 | X | X | X | + | 12 | X | X |
| = | - | 18 | X | X | − | 18 | X | + | 9 | X | X | X | + | 12 | X | X |
| = | - | 18 | X | X | − | 18 | X | + | 9 | X | X | X | + | 12 | X | X |
| = | - | 18 | X | X | − | 22 | X | + | 9 | X | X | X | + | 12 | X | X |
| - | 18 | X | X | − | 22 | X | + | 9 | X | X | X | + | 12 | X | X | = | 0 |
After the equation is converted into a general formula, it is converted into:
( 3X + 4 )( 3X - 1 )( X - 2 )=0
From
3X + 4 = 0
3X - 1 = 0
X - 2 = 0
it is concluded that:：
| X1= | - | 4 3 |
| X2= | 1 3 |
| X3=2 |
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》