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Math Challenge II-B 7.27 Algebra

 
 
luoRaymond的头像
Math Challenge II-B 7.27 Algebra
luoRaymond - 2020年07月29日 Wednesday 10:48
 

I'm kind of confused as how to factor the discriminant of this quadratic: $x^2+2(1+a)x+(3a^2+4ab+4b^2+2)=0$. I got a really messy equation out of it.

 
ShiJames的头像
Re: Math Challenge II-B 7.27 Algebra
ShiJames - 2020年07月30日 Thursday 22:29
 
You can expand the discriminant and, if you put everything on one side of the inequality and group the terms, you will find two perfect squares.