已知:a-1/a=5/6,则axa+1/axa=?告诉答案就行了?

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已知:a-1/a=5/6,则axa+1/axa=?告诉答案就行了?已知:a-1/a=5/6,则axa+1/axa=?告诉答案就行了?已知:a-1/a=5/6,则axa+1/axa=?告诉答案就行了?9

已知:a-1/a=5/6,则axa+1/axa=?告诉答案就行了?
已知:a-1/a=5/6,则axa+1/axa=?
告诉答案就行了?

已知:a-1/a=5/6,则axa+1/axa=?告诉答案就行了?
97/36

a-1/a=5/6,则a^2+1/a^2=
a-1/a=5/6 两边平方的
(a-1/a)^2=(5/6)^2
a^2-2a*(1/a)+1/a^2=25/36
a^2+1/a^2=25/36+2=97/36
a^2+1/a^2=97/36

a^2+1/a^2
=(a-1/a)^2+2
=(5/6)^2+2
=25/36+2
=97/36

37/36