Question

ХЭЛП!! Даю 15 баллов!!
Решите то, что на фотооо!!!

Answer 1

$\left \{ {{\frac{x}{y}+\frac{y}{x}=\frac{34}{15}} \atop {x^{2}+y^{2}=34}} \right.\\\\\left \{ {{\frac{x^{2}+y^{2}}{xy}=\frac{34}{15}} \atop {x^{2}+x^{2}=34}} \right.\\\\\left \{ {{xy=15} \atop {x^{2}+y^{2}=34}} \right.\\\\+\left \{ {{2xy=30} \atop {x^{2}+y{2}=34}} \right.\\ -------\\x^{2} +2xy+y^{2}=64\\\\(x+y)^{2}=64\\\\1)\left \{ {{x+y=-8} \atop {xy=15}} \right.\\\\x_{1}=-3;y_{1}=-5\\\\x_{2}=-5;y_{2}=-3\\\\2)\left \{ {{x+y=8} \atop {xy=15}} \right.\\\\x_{3}=3;y_{3}=5$

$x_{4} =5;y_{4}=3\\\\Otvet:\boxed{(-3;-5),(-5;-3),(3;5),(5;3)}$