Задача 67461 log1/2(x^2-5x-6) =-3...

6392391bd28c464e4ba6fb53

08.12.2022 22:21:51

log1/2(x^2-5x-6) =-3

6383295f3abb33063bcbd354

08.12.2022 22:29:40

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x^(2)–5x–6=(1/2)^(-3)
x^(2)–5x–6=2^(3)
x^(2)–5x–6=8
x^(2)–5x–14=0
x1=7, x2=-2

ОДЗ:
x^(2)–5x–6>0
x1=6, x2=-1
x ∈ (- ∝ ;-1) ∪ (6;+ ∝ )
Ответ: -2;7.