(1)3x^2-y^2=8 x^2+xy+y^2=4 (2)x^2+y^2=4 xy-y^2+4=0
问题描述:
(1)3x^2-y^2=8 x^2+xy+y^2=4 (2)x^2+y^2=4 xy-y^2+4=0
(3)4x^2+12xy+9y^2=1 4x^2-y^2=0 (4)x^2+2xy+y-64=0 6x^2+xy-2y^2=0
都是同类型,解答一两题或几题来参考,第一次写不知道怎么写
答
x^2+xy+y^2=4=>2x^2+2xy+2y^2=8联立3x^2-y^2=8相减得=>x^2-2xy-3y^2=0=>(x-3y)(x+y)=0=>x=3y或x=-y讨论:1)x=3y=>3(3y)^2-y^2=8=>26y^2=8=>y=正负(根号(4/13))x=正负3*(根号(4/13))2)x=-y=>(-y)^2+(-y)*y+y^...