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НоВыЙ13
@НоВыЙ13
July 2022
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Решите уравнение:
[tex] 2^{x^2-6} * 3^{x^2-6} = ( 6^{-x-1)^{4} } / 6^5[/tex]
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ВикаВикторовна
Verified answer
(2*3)ˣ²⁻⁶ = 6⁻⁴ˣ⁻⁴⁻⁵
6ˣ²⁻⁶ = 6⁻⁴ˣ⁻⁹
х²-6=-4х-9
х²+4х+3=0
D=16-12=4
x₁ = -4-2 / 2 = -3
x₂ = -4+2 / 2 = -1
Ответ: х= -3; -1
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Answers & Comments
Verified answer
(2*3)ˣ²⁻⁶ = 6⁻⁴ˣ⁻⁴⁻⁵6ˣ²⁻⁶ = 6⁻⁴ˣ⁻⁹
х²-6=-4х-9
х²+4х+3=0
D=16-12=4
x₁ = -4-2 / 2 = -3
x₂ = -4+2 / 2 = -1
Ответ: х= -3; -1