Question

Закончите пример, начало есть

Answer 1

${3}^{3 - y} + {3}^{y} = 12 \\ \frac{ {3}^{3} }{ {3}^{y} } + {3}^{y} = 12 \\ {3}^{y} = t \\ 27 + {t}^{2} = 12t \\ {t}^{2} - 12t + 27 = 0 \\ t_{1} + t_{2} = 12 \\ t_{1} \times t_{2} = 27 \\ t_{1} = 3 \: \: \: \: \: \: \: \: \: \: \: t_{2} = 9 \\ {3}^{y} = 3 \: \: \: \: \: \: \: \: \: \: \: {3}^{y} = 9 \\ y_{1} = log_{3}(3) = 1 \\ y_{2} = log_{3}(9) = 2$

$x_{1} = 3 - 1 = 2 \\ x_{2} = 3 - 2 = 1$