若a+b=7,ab=12,则a2+ab+b2=?

问题描述:

若a+b=7,ab=12,则a2+ab+b2=?

a+b=7 ab=12
a2+ab+b2=2(a+1/2ab+b)=2(7+6)=26

a^2+ab+b^2
=a^2+2ab+b^2-ab
=(a+b)^2-ab
=7^2-12
=49-12
=37