已知|x|=3x+1,则(64x2+48x+9)2005=_.
问题描述:
已知|x|=3x+1,则(64x2+48x+9)2005=______.
答
|x|=3x+1,
x=3x+1或x=-3x-1,
解得x=-
或x=-1 2
,1 4
(64x2+48x+9)2005
=[(8x+3)2]2005
=(8x+3)5000,
x=-
时,(8x+3) 5000=[8×(−1 2
)+3]5000=1;1 2
x=-
时,(8x+3) 5000=[8×(−1 4
)+3]5000=1.1 4
故答案为:1.