已知a+1/a=3,求a^4+1/a^4的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/15 22:27:51
已知a+1/a=3,求a^4+1/a^4的值已知a+1/a=3,求a^4+1/a^4的值已知a+1/a=3,求a^4+1/a^4的值a^4+1/a^4=(a^2+1/a^2)^2-2=[(a+1/a)

已知a+1/a=3,求a^4+1/a^4的值
已知a+1/a=3,求a^4+1/a^4的值

已知a+1/a=3,求a^4+1/a^4的值
a^4+1/a^4
=(a^2+1/a^2)^2-2
=[(a+1/a)^2-2]^2-2
=(9-2)^2-2
=49-2
=47