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leratrifonova1
@leratrifonova1
August 2022
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помогите пожалуйста [tex]log_{5}(x+1)+ log_5(x-3)=1 [/tex]
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ShirokovP
Verified answer
ОДЗ
x > 3
(x + 1)(x - 3) = 5
x^2 - 2x - 3 - 5= 0
x^2 - 2x - 8 = 0
D = 4 + 4*8 = 36
x1 = ( 2 + 6)/2 = 8/2 = 4 ∈ ОДЗ
x2 = ( 2 - 6)/2 = - 4/2 = - 2 ∉ ОДЗ
Ответ
4
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Answers & Comments
Verified answer
ОДЗx > 3
(x + 1)(x - 3) = 5
x^2 - 2x - 3 - 5= 0
x^2 - 2x - 8 = 0
D = 4 + 4*8 = 36
x1 = ( 2 + 6)/2 = 8/2 = 4 ∈ ОДЗ
x2 = ( 2 - 6)/2 = - 4/2 = - 2 ∉ ОДЗ
Ответ
4