> 数学 >
若lga、lgb是方程2x2-4x+1=0的两个实根,求lg(ab)•(lg
a
b
)2
的值.
人气:175 ℃ 时间:2020-04-16 03:00:12
解答
lga+lgb=2
lga•lgb=
1
2

lg(ab)•(lg
a
b
)2

=(lga+lgb)(lga-lgb)2
=2[(lga+lgb)2-4lgalgb]
=2(4-4×
1
2
)=4
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