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2x^3-6x^2+4=0解这个方程
人气:180 ℃ 时间:2020-04-27 09:47:56
解答
2x³-6x²+4=0
(2x³-2x²)-4x²+4=0
2x²(x-1)-4(x²-1)=0
2x²(x-1)-4(x+1)(x-1)=0
(x-1)(2x²-4x-4)=0
2(x-1)(x²-2x-2)=0
(x-1)[(x-1)²-3]=0
(x-1)(x-1-√3)(x-1+√3)=0
x=1,x=1+√3,x=1-√3
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