log2x^2=log2(根号2-1)-log2(根号2+1),求x+1/x

数学人气：837 ℃时间：2019-09-13 20:55:16

优质解答

log2(x²)=log2[(√2-1)/(√2+1)]log2(x²)=log2(√2-1)²所以x²=(√2-1)²x=±(√2-1)x=√2-1则1/x=√2+1x+1/x=2√2x=-√2+1则1/x=-√2-1x+1/x=-2√2所以x+1/x=±2√2

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