已知:x+y=2,2y²-y-4=0,求y-x/y的值
问题描述:
已知:x+y=2,2y²-y-4=0,求y-x/y的值
答
x=2-y , y^2=(y+4)/2
y-x/y = (y^2-x)/y
=[(y+4)/2-(2-y)]/y
=[y+4-2(2-y)]/2y
=(y+4-4+2y)/2y
=3y/2y
=3/2