x^2+y^2=20 x^2-3xy+2y^2=0

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x^2+y^2=20 x^2-3xy+2y^2=0
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x^2+y^2=20 x^2-3xy+2y^2=0
x^2+y^2=20 x^2-3xy+2y^2=0

x^2+y^2=20 x^2-3xy+2y^2=0
x²-3xy+2y²=0
(x-y)(x-2y)=0
x=y或x=2y
x=y代入方程x²+y²=20得2y²=20 y²=10
x=y=√10或x=y=-√10
x=2y代入方程x²+y²=20得5y²=20 y²=4
y=2或y=-2
y=2时,x=4；y=-2时,x=-4
综上,得方程组的解共4组：
x=√10 y=√10
x=-√10 y=-√10
x=4 y=2
x=-4 y=-2

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