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已知实数满足a^2+2a-15=0 求1/a+1 - a+2/a^2-1 / (a+1)(a+2)/a^-2a+1的值
人气:307 ℃ 时间:2019-08-22 14:19:43
解答
a^2+2a-15=0a²+2a+1=16(a+1)²=161/a+1 - a+2/a^2-1 / (a+1)(a+2)/a^-2a+1=1/(a+1) -(a+2)/(a+1)(a-1) ×(a-1)²/(a+1)(a+2)=1/(a+1)-(a-1)/(a+1)²=(a+1-a+1)/(a+1)²=2/(a+1)²=2/16=1/8
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