用因式分解法解下列方程2(x-3)²=9-x²

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2024-12-12 00:44:44
推荐回答(2个)
回答1:

2(x-3)²=9-x²
2(x-3)²+(x²-9)=0
2(x-3)²+(x+3)(x-3)=0
(x-3)(2x-6+x+3)=0
(x-3)(3x-3)=0
x=3或者x=1

回答2:

2(x-3)^2=9-x^2
2(x-3)^2+(x^2-9)=0
2(x-3)^2+(x+3)(x-3)=0
(x-3)(2x-6+x+3)=0
(x-3)(3x-3)=0
3(x-3)(x-1)=0
x=3或x=1