x^2+y^2=4 x-y=1 求(x+y)^2和(xy)^2

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x^2+y^2=4x-y=1求(x+y)^2和(xy)^2x^2+y^2=4x-y=1求(x+y)^2和(xy)^2x^2+y^2=4x-y=1求(x+y)^2和(xy)^2x-y=1,则(x-y)&

x^2+y^2=4 x-y=1 求(x+y)^2和(xy)^2
x^2+y^2=4 x-y=1 求(x+y)^2和(xy)^2

x^2+y^2=4 x-y=1 求(x+y)^2和(xy)^2
x-y=1,则(x-y)²=x²-2xy+y²=1²=1
则2xy=x²+y²-(x-y)²=4-1=3
(x+y)^2=x²+y²+2xy=4+3=7
(xy)^2 =(3/2)²=9/4

x-y=1
x^2+y^2-2xy=1
4-2xy=1
xy=3/2
(xy)^2 =9/4
(x+y)^2=x^2+y^2+2xy=4+3=7

(x-y)^2=1
x^2+y^2+2xy=1
2xy=3
xy=1.5
(xy)^2=2.25
(x+y)^2=4+3=7