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anastasi1661
@anastasi1661
December 2021
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Решите неравенство:
lg^2 x + lg x - 2 < 0
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Lokofan96
ОДЗ x>0
lg^2x+lgx-2=0
lgx=t
t^2+t-2=0
D=1+8=9
корень D=3
t1=(-1+3)/2=1
t2=(-1-3)/2=-2
lgx=1 lgx=-2
x=10 x=1/100
1 votes
Thanks 5
Lokofan96
на счёт промежутка не уверен
Lokofan96
от (0;10)
anastasi1661
спасибо большое,выручил:)
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Answers & Comments
lg^2x+lgx-2=0
lgx=t
t^2+t-2=0
D=1+8=9
корень D=3
t1=(-1+3)/2=1
t2=(-1-3)/2=-2
lgx=1 lgx=-2
x=10 x=1/100