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Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
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－2）（x－2） = 0 .
Question type: Equation
Solution:Original question:
| ( | x | − | 2 | ) | ( | x | − | 2 | ) | = | 0 |
| Left side of the equation = | x | ( | x | − | 2 | ) | − | 2 | ( | x | − | 2 | ) |
| = | x | x | − | x | × | 2 | − | 2 | ( | x | − | 2 | ) |
| = | x | x | − | 2 | x | − | 2 | x | + | 2 | × | 2 |
| = | x | x | − | 2 | x | − | 2 | x | + | 4 |
| = | x | x | − | 4 | x | + | 4 |
| x | x | − | 4 | x | + | 4 | = | 0 |
After the equation is converted into a general formula, it is converted into:
( x - 2 )( x - 2 )=0
From
x - 2 = 0
x - 2 = 0
it is concluded that:：
x1=2
x2=2
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》