0\\t^2-4t-45=0\\D=16-4\cdot(-45)=16+180=196=(14)^2\\t_{1,2}=\frac{4\pm14}2\\t_1=-5\;-\;He\;nogx.\\t_2=9\\\\9^{\frac1x}=9\\\frac1x=1\\x=1" alt="81^{\frac1x}-4\cdot9^{\frac1x}-45=0\\9^{\frac2x}-4\cdot9^{\frac1x}-45=0\\9^{\frac1x}=t,\;9^{\frac2x}=t^2,\;t>0\\t^2-4t-45=0\\D=16-4\cdot(-45)=16+180=196=(14)^2\\t_{1,2}=\frac{4\pm14}2\\t_1=-5\;-\;He\;nogx.\\t_2=9\\\\9^{\frac1x}=9\\\frac1x=1\\x=1" align="absmiddle" class="latex-formula">