设a1,d为实数,首项为a1,公差为d的等差数列{an}的前n项和为Sn,满足S5S6+15=0.求d的取值范围.
回复(4) 2011-04-26 22:56 来自版块 - 
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teachergyyjzh 加油(2011-04-26 23:40)
fzflw谢啦哈 O(∩_∩)O 。。。(2011-04-26 23:20)
teachersqc解答(2011-04-26 23:05)
teachergyyjzh因为S5*S6+15=0, 所以(5a1+10d)(6a1+15d)+15=0, 即2a1^2+9da1+10d^2+1=0. 故(4a1+9d)^2=d^2-8. 所以d^2≥8 故d的取值范围为d≤-2√2 或d≥2√2(2011-04-26 23:01)

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