Question

Решите систему уравнений
Корень из х+корень из у=3
ху=4

Answer 1

$left { {{ sqrt{x} + sqrt{y}=3} atop {xy=4}} right. left { {{ sqrt{x+y} =2} atop { xy=4}} right. left { {{x+y=4} atop {xy=4}} right. left { {{x=4-y} atop {(4-y)y=4}} right. left { {{x=4-2} atop {y=2}} right. left { {{x=2} atop {y=2}} right.$
$(4-y)y=4$
$left { {{4-y=2} atop {y=2}} right. left { {{y=2} atop {y=2}} right.$