1/a+a=10,求(a-1/a)²的值
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1/a+a=10,求(a-1/a)²的值
1/a+a=10,求(a-1/a)²的值
1/a+a=10,求(a-1/a)²的值
1/a +a=10
(1/a+a)^2=100
1/a^2+2+a^2=100
1/a^2-2+a^2=96
(1/a-a)^2=96
(a-1/a)^2=96
a+1/a=10
(a+1/a)^2=100=a^2+2+(1/a)^2 则 a^2+(1/a)^2=98
由此可得
(a-1/a)=a^2-2+(1/a)^2=98-2=96