
a乘(a减1)乘(a减2)乘(a减3)=360怎么解
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a(a-1)(a-2)(a-3)=360
[a(a-3)][(a-1)(a-2)]=360
(a²-3a)(a²-3a+2)=360
(a²-3a)²+2(a²-3a)-360=0
(a²-3a+20)(a²-3a-18)=0
(a²-3a+20)(a-6)(a+3)=0
(a²-3a+20=0无实数根)
∴a=6,a=-3
[a(a-3)][(a-1)(a-2)]=360
(a²-3a)(a²-3a+2)=360
(a²-3a)²+2(a²-3a)-360=0
(a²-3a+20)(a²-3a-18)=0
(a²-3a+20)(a-6)(a+3)=0
(a²-3a+20=0无实数根)
∴a=6,a=-3
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