计算:已知x^2=1/2,求(x+1/2)(x-1/2)(x^4-1/2x^2+16)的值
问题描述:
计算:已知x^2=1/2,求(x+1/2)(x-1/2)(x^4-1/2x^2+16)的值
答
(x+1/2)(x-1/2)(x^4-1/2x2+16)
=(x2-1/4)(x^4-1/2x2+16)
∵x2=1/2
∴=0(x^4-1/2x2+16)
=0