2(x-3)눀=x눀-9,,,,, ,用因式分解法

2025-05-11 03:09:27
推荐回答(4个)
回答1:

2(x-3)² = x²-9
2(x-3)² = (x-3)(x+3)
如果x = 3 等式显然成立
如果x ≠ 3,两边约去(x-3)
2(x - 3) = x + 3
2x - 6 = x + 3
x = 9

综上,所以有两个解: x1 = 3 x2 = 9

或者
2(x-3)² - (x-3)(x+3) = 0
(x-3) [2(x-3) - (x + 3)] =0
(x-3) [x - 9] =0

下略

回答2:

2*(x^2+2*3x+9)=x^2+9
2*x^2+12x+18-x^2+9=0
x^2-2*6x+36-9=0
(x-6)^2=9

x-6=±3
x1=6
x2=3

回答3:

2(x-3)2=(x+3)(x-3)
2(x-3)=x+3
x=9

回答4:

2(x-3)²=(x+3)(x-3

2(x-3)=x+3
2x-6=x+3
x=3