Question

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

Answer 1

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

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