
a∧3-6a-4=0求a的值
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解:
a³-6a-4=0
a³+2a²-2a²-4a-2a-4=0
a²(a+2)-2a(a+2)-2(a+2)=0
(a+2)(a²-2a-2)=0
(a+2)(a²-2a+1-3)=0
(a+2)[(a-1)²-3]=0
(a+2)(a-1+√3)(a-1-√3)=0
a=-2或a=1-√3或a=1+√3
a³-6a-4=0
a³+2a²-2a²-4a-2a-4=0
a²(a+2)-2a(a+2)-2(a+2)=0
(a+2)(a²-2a-2)=0
(a+2)(a²-2a+1-3)=0
(a+2)[(a-1)²-3]=0
(a+2)(a-1+√3)(a-1-√3)=0
a=-2或a=1-√3或a=1+√3
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