已知|x-1/x-9 - y-1/y+15|+|x+6/x+9 - y-3/y|=0 求12y2-490/x
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已知|x-1/x-9-y-1/y+15|+|x+6/x+9-y-3/y|=0求12y2-490/x已知|x-1/x-9-y-1/y+15|+|x+6/x+9-y-3/y|=0求12y2-490/x已知
已知|x-1/x-9 - y-1/y+15|+|x+6/x+9 - y-3/y|=0 求12y2-490/x
已知|x-1/x-9 - y-1/y+15|+|x+6/x+9 - y-3/y|=0 求12y2-490/x
已知|x-1/x-9 - y-1/y+15|+|x+6/x+9 - y-3/y|=0 求12y2-490/x
绝对值都是非负的
所以( x-1/x-9) - (y-1)/(y+15)=0且 (x+6)/(x+9) - (y-3)/y=0
所以 (x-1)(y+15)=(x-9)(y-1) 且 (x+6)y=(x+9)(y-3)
所以 xy-y+15x-15=xy-x-9y+9且xy+6y=xy-3x+9y-27
所以 16x+8y=24且 3x-3y=-27
即 2x+y=3且 x-y=-9
所以 x=-2,y=7
(12y²-490)/x
=(12*49-49*10)/(-2)
=2*49/(-2)
=-49
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