以知XY互为相反数,且(x+2)^2-(y+2)^2=4,求X;Y的值帮帮忙

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以知XY互为相反数,且(x+2)^2-(y+2)^2=4,求X;Y的值帮帮忙
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以知XY互为相反数,且(x+2)^2-(y+2)^2=4,求X;Y的值帮帮忙
以知XY互为相反数,且(x+2)^2-(y+2)^2=4,求X;Y的值
帮帮忙

以知XY互为相反数,且(x+2)^2-(y+2)^2=4,求X;Y的值帮帮忙
y=-x
(x+2)²-(-x+2)²=4
x²+4x+4-x²+4x-4=4
8x=4
x=1/2
y=-x=-1/2

原式=2(x²+5x/2)+2
=2(x²+5x/2+25/16-25/16)+2
=2(x²+5x/2+25/16)-25/8+2
=2(x+5/4)²-9/8
=2[(x+5/4)²-9/16]
=2(x+5/4+3/4)(x+5/4-3/4)
=2(x+2)(x+1/2)
=(x+2)(2x+1)