a4*a8+2a6*a5+a2*a8=36,
(a1)²q^10+2(a1)²q^9+(a1)²q^8=36,
(a1)²q^8(q²+2q+1)=36,
(a1)²q^8(q+1)²=36,
两边开平方,得a1q^4(q+1)=±6,
a1q^5+a1q^4=±6.
即a5+a6=±6
a4*a8+2a6*a5+a2*a8=36,
(a1)²q^10+2(a1)²q^9+(a1)²q^8=36,
(a1)²q^8(q²+2q+1)=36,
(a1)²q^8(q+1)²=36,
两边开平方,得a1q^4(q+1)=±6,
a1q^5+a1q^4=±6.
即a5+a6=±6