1.分解因式x^2-2√6x+62.已知x+y=√3+√2,xy=√6,求x^2+y^2及|x-y|

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1.分解因式x^2-2√6x+62.已知x+y=√3+√2,xy=√6,求x^2+y^2及|x-y|
1.分解因式x^2-2√6x+6
2.已知x+y=√3+√2,xy=√6,求x^2+y^2及|x-y|

1.分解因式x^2-2√6x+62.已知x+y=√3+√2,xy=√6,求x^2+y^2及|x-y|
1,=(x-根号6)^2
2,x^2+y^2=(x+y)^2-2xy=(根号3+根号2)^2-2*根号6=5+2根号6-2根号6=5
(x-y)^2=(x+y)^2-4xy=5+2根号6-4根号6=5-2根号6=(根号3-根号2)^2,所以ix-yi=根号3-根号2