3x²+kx+7=0
根据韦达定理
a3+a9=-k/3
a3*a9=7/3
(a6)²=7/3
(a3+a9)²=3a5a7+2
(-k/3)²=3(a6)²+2
k²/9=3*7/3+2
k²/9=7+2
k²/9=9
k²=81
k=±9
△=k²-4*3*7
=k²-84>=0
k>=2√21或k