已知-1<x<0,化简√(x²-2+1/x²)-√(x²+2+1/x²)要过程..谢、请尽快
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已知-1<x<0,化简√(x²-2+1/x²)-√(x²+2+1/x²)要过程..谢、请尽快
已知-1<x<0,化简√(x²-2+1/x²)-√(x²+2+1/x²)要过程..谢、请尽快
已知-1<x<0,化简√(x²-2+1/x²)-√(x²+2+1/x²)要过程..谢、请尽快
-1<x<0
0
√﹙x²-2+1/x²﹚-√﹙x²+2+1/x²﹚
=√﹙x-1/x﹚²-√﹙x+1/x﹚²
=|x-1/x|-|x+1/x|
=﹣﹙x-1/x﹚+﹙x+1/x﹚
=﹣x+1/x+x+1/x
=2/x。
-1<x<0,
√(x²-2+1/x²)-√(x²+2+1/x²)
=√(x-1/x)²-√(x+1/x)²
=x-1/x-(-x-1/x)
=x-1/x+x+1/x
=2x