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us29
@us29
July 2022
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помогите пожалуйста
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kalbim
Verified answer
4lg^2(x) + lg10 + lgx - 6 = 0
4lg^2(x) + lgx - 5 = 0
Замена: lgx = t
4t^2 + t - 5 = 0
D=1 + 4*5*4 = 81
t1 = (-1 - 9)/8 = -10/8 = -5/4
t2 = (-1 + 9)/8 = 8/8 = 1
lgx = -5/4, x=10^(-1.25)
lgx = 1, x=10
Ответ: 10; 10^(-1.25)
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Answers & Comments
Verified answer
4lg^2(x) + lg10 + lgx - 6 = 04lg^2(x) + lgx - 5 = 0
Замена: lgx = t
4t^2 + t - 5 = 0
D=1 + 4*5*4 = 81
t1 = (-1 - 9)/8 = -10/8 = -5/4
t2 = (-1 + 9)/8 = 8/8 = 1
lgx = -5/4, x=10^(-1.25)
lgx = 1, x=10
Ответ: 10; 10^(-1.25)