3x²-y²=8 x²+xy+y²=4

问题描述:

3x²-y²=8 x²+xy+y²=4
解方程组

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^...