Question

Помогите решить систему уравнений. Много баллов

Answer 1

$\left \{ {{(3^x)^2-(0,5^y)^2=5,} \atop {3^x+0,5^y=5;}} \right. \left \{ {{(3^x-0,5^y)(3^x+0,5^y)=5} \atop {3^x+0,5^y=5}} \right. \left \{ {{5(3^x-0,5^y)=5} \atop {3^x+0,5^y=5}} \right. \left \{ {{3^x-0,5^y=1} \atop {3^x+0,5^y=5}} \right. \\\\\left \{ {{2\cdot3^x=6} \atop {-2\cdot0,5^y=-4;}} \right. \left \{ {{3^x=3,} \atop {0,5^y=2;}} \right. \left \{ {{3^x=3^1} \atop {0,5^y=0,5^{-1}}} \right. \left \{ {{x=1} \atop {y=-1}} \right.$

ОТВЕТ: (1; -1).