Question

задания в вкл............

Answer 1

$left { {{x+y=6} atop {log_{ sqrt{2}}x+log_{ sqrt{2}}y=6}} right.$

$left { {{x+y=6} atop {log_{ sqrt{2}}(x*y)=6}} right.$

$left { {{x+y=6} atop {x*y=2^{6* frac{1}{2}}}} right.$

$left { {{x+y=6} atop {x*y=2^{3}} right.$

$left { {{x=6-y} atop {(6-y)*y=8} right.$

$left { {{x=6-y} atop {6y-y^{2}-8=0} right.$

$left { {{x=6-y} atop {y^{2}-6y+8=0, D=36-4*8=4} right.$

$left { {{x=6-y} atop {y_{1}=2, y_{2}=4} right.$

$left { {{x_{1}=4} atop {y_{1}=2} right.$

$left { {{x_{2}=2} atop {y_{2}=4} right.$

Ответ: (2;4), (4;2)