已知a-1⼀a=3,求(a^4+1)⼀a^2的值

2024-11-30 10:31:51
推荐回答(3个)
回答(1):

a-1/a=3
a=-0.5 代入到(a^4+1)/a^2得:
[(-0.5)^4+1]/(-0.5)^2
=(0.063+1)/0.25
=4.252

回答(2):

(a-1/a)^2=9
a2-2+(1/a)^2=9
a^+(1/a)^2=11
(a^4+1)/a^2=11

回答(3):

(a^4+1)/a^2 = a^2+1/a^2 = (a-1/a)^2 + 2 = 9+2 =11