Question

ПОМОГИТЕ СРОЧНО 3^(2x+1)-3^(2-2x)=0

Answer 1

$3^{2x+1}-3^{2-2x}=0\\\\3^{2x}\cdot 3-\frac{3^2}{3^{2x}}=0\\\\t=3^{2x}\ \textgreater \ 0\; ,\; \; 3t-\frac{9}{t}=0\; |\cdot t\ \textgreater \ 0\\\\3t^2-9=0\\\\3(t^2-3)=0\\\\(t-\sqrt3)(t+\sqrt3)=0\\\\t_1=\sqrt3,\; t_2=-\sqrt3\\\\3^{2x}=3^{0,5}\; \to \; 2x=0,5\; \; ;\; \; x=0,25\\\\3^{2x}=-3^{0,5}\ \textless \ 0\; \; \to \; \; net\; reshenij$