若lga,lgb是方程2x^2-4x+1的两个根,则(lg a/b)^2的值为
人气:433 ℃ 时间:2020-05-04 01:34:17
解答
由根与系数的关系,得:
lga+lgb=4/2=2
lga*lgb=1/2
(lg a/b)^2=(lga-lb)^2=(lga+lgb)^2-4*lgalgb=2^2-4*1/2=4-2=2
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