
已知x+y=3,xy=-12,求(1)x^2+y^2(2)x^2-xy+y^2(3)x-y
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(1)x^2+y^2
=x²+2xy+y²-2xy
=(x+y)²-2xy
=9+24
=33
(2)x^2-xy+y^2
=(x²+y²)-xy
=33+12
=45
(3)
因为(x-y)²
=x²-2xy+y²
=x²+y²-2xy
=33+24
=57
所以x-y=±√57
=x²+2xy+y²-2xy
=(x+y)²-2xy
=9+24
=33
(2)x^2-xy+y^2
=(x²+y²)-xy
=33+12
=45
(3)
因为(x-y)²
=x²-2xy+y²
=x²+y²-2xy
=33+24
=57
所以x-y=±√57
展开全部
(1)(x+y)^2=x^2+y^2+2xy
x^2+y^2=(x+y)^2-2xy
=3^2-(-24)=9+24=33
(2)原式=(x+y)^2-3xy
=3^2-(-36)=45
(3)(x-y)^2=(x+y)^2-4xy
=3^2-(-48)
=57
x-y=根号57
x^2+y^2=(x+y)^2-2xy
=3^2-(-24)=9+24=33
(2)原式=(x+y)^2-3xy
=3^2-(-36)=45
(3)(x-y)^2=(x+y)^2-4xy
=3^2-(-48)
=57
x-y=根号57
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答案里去掉根号是多少
追答
不是整数,约等于7.55
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(1)33 (2)45 (3)57
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