X=8/y
(8/y)^2 +y^2 =65 /*y^2
Y^4-65y^2+64=0. y^2 =t
t^2 - 65t+64=0
D:4225-256=63^2
t1=64. t2=1
y1=+-8. y2=+-1
x1=+-1. x2=+- 8
Ответ: (+-8;+-1) и (+-1;+-8)
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X=8/y
(8/y)^2 +y^2 =65 /*y^2
Y^4-65y^2+64=0. y^2 =t
t^2 - 65t+64=0
D:4225-256=63^2
t1=64. t2=1
y1=+-8. y2=+-1
x1=+-1. x2=+- 8
Ответ: (+-8;+-1) и (+-1;+-8)