Question

Решите систему пожалуйста

Answer 1

$left { {{log_{3}x+log_{3}y=3,} atop {y-x=2;}} right. \ x textgreater 0, y textgreater 0, \ left { {{log_{3}xy=3,} atop {y=x+2;}} right. left { {{log_{3}x(x+2)=log_{3}3^3,} atop {y=x+2;}} right. left { {{x^2+2x=27,} atop {y=x+2;}} right. \ x^2+2x-27=0, \ D_1=1+27=28, \ x_1=-1-2sqrt{7} textless 0, x_2=-1+2sqrt{7}, \ left { {{x=2sqrt{7}-1,} atop {y=2sqrt{7}+1.}} right.$