已知2008(X+Y)的平方与2008│0.5Y-1│互为相反数,求(X+Y)+[(X-Y)-XY]的Y次方-X/Y的值.
问题描述:
已知2008(X+Y)的平方与2008│0.5Y-1│互为相反数,求(X+Y)+[(X-Y)-XY]的Y次方-X/Y的值.
答
2008(X+Y)的平方与2008│0.5Y-1│互为相反数则:2008(X+Y)^2+2008│0.5Y-1│=0x+y=0,0.5y-1=0y=2,x=-y=-2(X+Y)+[(X-Y)-XY]的Y次方-X/Y=0+[(-2-2)-(-2)*2]^2-(-2)/2=0+[-4+4]^2+1=0+0+1=1