(9;3)(-3;-9)
Пошаговое объяснение:
x/y+y/x=10/3
x-y=6
x=6+y
(6+y)/y+y/(6+y)=10/3
(6+y)(6+y)+y^2=10/3у(6+у)
36+12у+2у^2=20у+10/3у^2
4/3у^2+8у-36=0
4у^2+24у-108=0
у^2+6у-27=0
D=36+108=144
y1=(-6+12)/2=3 y2=(-6-12)/2=-9
x1=6+3=9 x2=6-9=-3
(9;3)(-3;-9)
Пошаговое объяснение:
x/y+y/x=10/3
x-y=6
x=6+y
(6+y)/y+y/(6+y)=10/3
(6+y)(6+y)+y^2=10/3у(6+у)
36+12у+2у^2=20у+10/3у^2
4/3у^2+8у-36=0
4у^2+24у-108=0
у^2+6у-27=0
D=36+108=144
y1=(-6+12)/2=3 y2=(-6-12)/2=-9
x1=6+3=9 x2=6-9=-3