Question

Найдите наибольшее целое решение неравенств.

Answer 1

$0.25^{x}-6*0.5^{x}-16>0\((0.5)^{2})^{x}-6*0.5^{x}-16>0\((0.5)^{x})^{2}-6*0.5^{x}-16>0\q=0.5^{x}\q^{2}-6q-16>0\(q-8)(q+2)>0\q<-2 or q>8\0.5^{x}>0=> 0.5^{x}=q>8\0.5^{x}>(0.5)^{-3}\0.5<1 => x<-3$

Ответ х= - 4