
已知x+y=3 xy= - 5 求: (1)x^2+y^2 (2) x^2-xy+y^2 (3) x-y
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x+y=3 xy= - 5
(1)x^2+y^2=(x+y)²-2xy=9+10=19
(2) x^2-xy+y^2 =19+5=24
(3) x-y=±√(x-y)²=±√[(x+y)²-4xy]=±√29
(1)x^2+y^2=(x+y)²-2xy=9+10=19
(2) x^2-xy+y^2 =19+5=24
(3) x-y=±√(x-y)²=±√[(x+y)²-4xy]=±√29
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