解方程组 {3x2-y2=8 {4x2+12xy+9y2=1 {x2+2xy+y2-4=0 x2+xy+y2=4 4x2-9y2=0 x2-2xy+y2-1=0

问题描述:

解方程组 {3x2-y2=8 {4x2+12xy+9y2=1 {x2+2xy+y2-4=0 x2+xy+y2=4 4x2-9y2=0 x2-2xy+y2-1=0
还有{x2+y2=4
xy-y2+4=0
x2-----x的平方 y2------y的平方
还有{2x-3y=1
2x2-3xy+y2-4x+3y-3=0

1、3x^2-y^2=8.(1)4x^2+12xy+9y^2=1后一个方程变形为:(2x+3y)^2=1所以:2x+3y=1.(2)或者2x+3y=-1.(3)再分别联立求解.2、x2+2xy+y2-4=0 x2+xy+y2=4 两个式子想减得到xy=0所以x=0或者y=0.当x=0时候,y=±2;当y=0时候,...