已知a^x*a^3*a^2x+1=a^10,求2x^2-(x^2+2x-2013)的值
问题描述:
已知a^x*a^3*a^2x+1=a^10,求2x^2-(x^2+2x-2013)的值
答
∵a^x*a^3*a^2x+1=a^10
∴ x+3+2x+1=10
3x=6
x=2
2x^2-(x^2+2x-2013)
=2x^2-x^2-2x+2013
=x²-2x+2013
=(x-1)²+2012
将 x=2代入上式得
(x-1)²+2012
=(2-1)²+2012
=2013