SOLUTION: suppose x^2+a^2x+a^2 factors into (x+a)^2 find the nonzero value of a

Algebra ->  Expressions-with-variables -> SOLUTION: suppose x^2+a^2x+a^2 factors into (x+a)^2 find the nonzero value of a      Log On


   

Question 183172: suppose x^2+a^2x+a^2 factors into (x+a)^2 find the nonzero value of a
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+a^2x+a^2= (x+a)^2

x^2+a^2x+a^2=x^2+2ax+a^2

a^2x=2ax

a^2=2a

a^2-2a=0

a=0 or a=2

Answer: a=2