若2a²+3a-1=0,2b²+3b-1=0,且a≠b,则1/a+1/b=?
人气:256 ℃ 时间:2019-08-26 07:46:25
解答
2a²+3a-1=0、2b²+3b-1=0,则:
a、b是方程2x²+3x-1=0的两个根,得:
a+b=-3/2,ab=-1/2
则:
(1/a)+(1/b)
=(a+b)/(ab)
=(-3/2)/(-1/2)
=3
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