Question

решите систему без логарифмов​

Answer 1

$1)(\frac{1}{2})^{6}=(\frac{1}{2})^{x^{2}+x }\\\\6=x^{2}+x\\\\x^{2}+x-6=0\\\\x_{1} =2\\\\x_{2} =-3\\\\2)7^{x-2}<0,4 \\\\x_{1} =2 \ \Rightarrow \ 7^{2-2}<0,4\\\\7^{0}<0,4\\\\1<0,4-neverno\\\\x_{2}=-3 \ \Rightarrow \ 7^{-3-2}<0,4 \\\\7^{-5}<0,4\\\\\frac{1}{16807}<0,4-verno\\\\Otvet:\boxed{-3}$