问题
填空题
若x2-x-1=0,则1995+2x-x3的值为______.
答案
∵x2-x-1=0,
∴x2-x=1,
∴1995+2x-x3
=-x(x2-x)-x2+2x+1995
=-x2+x+1995
=-(x2-x)+1995
=1994.
故答案为1994.
若x2-x-1=0,则1995+2x-x3的值为______.
∵x2-x-1=0,
∴x2-x=1,
∴1995+2x-x3
=-x(x2-x)-x2+2x+1995
=-x2+x+1995
=-(x2-x)+1995
=1994.
故答案为1994.