若x+y=9,xy=20则 x^2+y^2=_____, (x-y)^2=_____

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若x+y=9,xy=20则x^2+y^2=_____,(x-y)^2=_____若x+y=9,xy=20则x^2+y^2=_____,(x-y)^2=_____若x+y=9,xy=20则x^2+y^2

若x+y=9,xy=20则 x^2+y^2=_____, (x-y)^2=_____
若x+y=9,xy=20则 x^2+y^2=_____, (x-y)^2=_____

若x+y=9,xy=20则 x^2+y^2=_____, (x-y)^2=_____
x²+y²
=(x+y)²-2xy
=81-40
=41
(x-y)²
=x²+y²-2xy
=41-40
=1

x^2+y^2=__(x+y)^2-2xy=81-40=41___,
(x-y)^2=_x^2+y^2-2xy=41-40=1____

1、x²+y²=(x+y)²-2xy=41
2、(x-y)²=(x+y)²-4xy=1