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Solution inequality：
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （x-5/2）（3-x） = 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:
( 2x - 5 )( x - 3 )=0
From
2x - 5 = 0
x - 3 = 0
it is concluded that:：
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （x-5/2）（3-x） = 0 .
Question type: Equation
Solution:Original question:
| ( | x | − | 5 | ÷ | 2 | ) | ( | 3 | − | x | ) | = | 0 |
| Left side of the equation = | x | ( | 3 | − | x | ) | − | 5 | ÷ | 2 | × | ( | 3 | − | x | ) |
| = | x | ( | 3 | − | x | ) | − | 5 2 | ( | 3 | − | x | ) |
| = | x | × | 3 | − | x | x | − | 5 2 | ( | 3 | − | x | ) |
| = | 3 | x | − | x | x | − | 5 2 | × | 3 | + | 5 2 | x |
| = | 3 | x | − | x | x | − | 15 2 | + | 5 2 | x |
| = | 11 2 | x | − | x | x | − | 15 2 |
11 2 | x | − | x | x | − | 15 2 | = | 0 |
After the equation is converted into a general formula, it is converted into:
( 2x - 5 )( x - 3 )=0
From
2x - 5 = 0
x - 3 = 0
it is concluded that:：
| x1= | 5 2 |
| x2=3 |
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》