Question

распишите подробно, умоляю

Answer 1

$2^{x+1}+17cdot 2^{-x} leq 35\\2^{x}cdot 2+frac{17}{2^{x}}-35 leq 0\\t=2^{x} textgreater 0; ,; ; ; 2t+frac{17}{t}-35 leq 0\\ frac{2t^2-35t+17}{t} leq 0; ,; ; tne 0\\2t^2-35t+17=0\\D=35^2-4cdot 2cdot 17=1089; ,; ; sqrt{1089}=33\\t_1=frac{35-33}{4}=frac{1}{2}; ,; ; t_2=frac{35+33}{4}=17\\2(t-frac{1}{2})(t-17) leq 0\\(0)+++(frac{1}{2})---(17)+++\\tin [, frac{1}{2};17, ]; ; to ; ; 2^{-1} leq 2^{x} leq 17; ; to ; ; ; underline {-1 leq x leq log_217}$