若实数a,b满足a2+ab-b2=0,则a/b=_.

问题描述:

若实数a,b满足a2+ab-b2=0,则

a
b
=______.

a2+ab-b2=0
△=b2+4b2=5b2
a=

−b±
5b2
2
=
−1±
5
2
b
a
b
=
−1±
5
2

故答案是:
−1±
5
2