x^2+y^2=20 x^2-5xy+6y^2=0方程组:x^2+y^2=20 x^2-5xy+6y^2=0

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x^2+y^2=20 x^2-5xy+6y^2=0方程组:x^2+y^2=20 x^2-5xy+6y^2=0
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x^2+y^2=20 x^2-5xy+6y^2=0方程组:x^2+y^2=20 x^2-5xy+6y^2=0
x^2+y^2=20 x^2-5xy+6y^2=0
方程组:
x^2+y^2=20
x^2-5xy+6y^2=0

x^2+y^2=20 x^2-5xy+6y^2=0方程组:x^2+y^2=20 x^2-5xy+6y^2=0
x^2-5xy+6y^2=0
(x-2y)(x-3y)=0
x=2y或者x=3y
当x=2y时,4y^2+y^2=20 y=2或-2 则x=4或-4
当x=3y时,9y^2+y^2=20 y=+ -根号2 则x=+ -3根号2

x^2-5xy+6y^2=0
化简得:(X-2Y)(X-3Y)=0
解得 X=2Y 或者X=3Y
1)当X=2Y时,代入x^2+y^2=20
得:X=4,Y=2;
X=-4,Y=-2
2)当X=3Y时,代入x^2+y^2=20
得:X=3根号2,Y=根号2;
X=-3根号2,Y=-根号2

先化成一次函数在做