2011(x+y)^2与2012|1/2x-1|互为相反数,1,求x,y的值.2,求x^2011+y^2012
问题描述:
2011(x+y)^2与2012|1/2x-1|互为相反数,1,求x,y的值.2,求x^2011+y^2012
答
2011(x+y)^2与2012|1/2x-1|
二者均≥0,互为相反数,所以均=0
1/2x-1=0,x=2
x+y=0,y=-2
2^2011+(-2)^2012
=2^2011+2^2012
=3*2^2011