若﹙x²-3y+y+x-5﹚²+│3x+1│=0,则x²-3xy+y-2=什么如题.
问题描述:
若﹙x²-3y+y+x-5﹚²+│3x+1│=0,则x²-3xy+y-2=什么
如题.
答
令:﹙x²-3yx+y+x-5﹚=0 ,│3x+1│=0等式﹙x²-3yx+y+x-5﹚²+│3x+1│=0才有意义
│3x+1│=0 x=-1/3
x²-3xy+y-2=(x²-3yx+y+x-5)-x+3=0-x+3=0-(-1/3)+3=10/3
答
两个正数和为0,则这两个数分别为0即x²-3y+y+x-5=0,3x+1=0可得X=-1/3,y=47/18,
x²-3xy+y-2=10/3
答
x²-3y+y+x-5=0,3x+1=0,可知X=-1/3,y=47/18,x²-3xy+y-2=10/3
答
由﹙x²-3y+y+x-5﹚²+│3x+1│=0得x²-3y+y+x-5=0且3x+1=0
所以x=-1/3,代入x²-3y+y+x-5=0得1/9-2y-1/3-5=0,2y=-47/9
x²-3xy+y-2得
x²-3xy+y-2=x²-y(3x-1)-2
=1/9+2y-2
=1/9-47/9-2
=-64/9