x^2=2y+5,y^2=2x+5,求 x^3+2(xy)^2+y^3
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x^2=2y+5,y^2=2x+5,求 x^3+2(xy)^2+y^3
我的答案是15和-37?是吗?
我的答案是15和-37?是吗?
![x^2=2y+5,y^2=2x+5,求 x^3+2(xy)^2+y^3](/uploads/image/z/4147166-38-6.jpg?t=x%5E2%3D2y%2B5%2Cy%5E2%3D2x%2B5%2C%E6%B1%82+x%5E3%2B2%28xy%29%5E2%2By%5E3)
x^2=2y+5,
y^2=2x+5,
求 x^3+2(xy)^2+y^3
两式相减
(x+y)(x-y)=2(y-x)
x+y=-2 (1)
两式相加
x^2+y^2=2(x+y)+5=1
x^2+y^2=1 (2)
(1)平方-(2)
2xy=3
xy=1.5
x^3+2(xy)^2+y^3
=(x+y)(x^2+y^2-xy)+2(xy)^2
=.
-2*(-0.5)+2*2.25
=5.5
再问: 额
再答: =5.5
再问: 是40和-12吧
y^2=2x+5,
求 x^3+2(xy)^2+y^3
两式相减
(x+y)(x-y)=2(y-x)
x+y=-2 (1)
两式相加
x^2+y^2=2(x+y)+5=1
x^2+y^2=1 (2)
(1)平方-(2)
2xy=3
xy=1.5
x^3+2(xy)^2+y^3
=(x+y)(x^2+y^2-xy)+2(xy)^2
=.
-2*(-0.5)+2*2.25
=5.5
再问: 额
再答: =5.5
再问: 是40和-12吧
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