已知 X+Y=-1,XY=-6 求X^2+Y^2 和 X-Y的值非诚勿扰
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已知X+Y=-1,XY=-6求X^2+Y^2和X-Y的值非诚勿扰已知X+Y=-1,XY=-6求X^2+Y^2和X-Y的值非诚勿扰已知X+Y=-1,XY=-6求X^2+Y^2和X-Y的值非诚勿扰X^2+
已知 X+Y=-1,XY=-6 求X^2+Y^2 和 X-Y的值非诚勿扰
已知 X+Y=-1,XY=-6 求X^2+Y^2 和 X-Y的值
非诚勿扰
已知 X+Y=-1,XY=-6 求X^2+Y^2 和 X-Y的值非诚勿扰
X^2+Y^2
=(x+y)^2-2xy
=(-1)^2-2×(-6)
=1+12
=13
( X-Y)²
=(x²+y²)-2xy
=13-2×(-6)
=25
所以 x-y=±5
X^2+Y^2=(x+y)^2-2xy=1+12=13
X-Y=±√(x-y)^2=±√(x+y)^2-4xy=±√(1+24)=±5
已知 X+Y=-1,XY=-6 求X^2+Y^2 和 X-Y的值
解:x^2+y^2
=(x+y)^2-2xy
=1+12
=13
(x-y)^2
=(x+y)^-4xy
=1+24
=25
所以x-y=±5
X+Y=-1,XY=-6 求X^2+Y^2 和 X-Y
X^2+Y^2=(x+y)²-2xy=(-1)²-2×(-6)=1+12=13
X-Y=±√(x²+y²-2xy) =±√[13-2×(-6)] =±√25=±5
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