Find $a$ such that $ax^2+12x+9$ is the square of a binomial.
I've seen these questions before. If these are homework problems, this is not a homework site!
Hey Lightning, \(a=4\)
\(4x^2+12x+9\\ =(2x+3)^2\)
I used: \((x+y)^2=x^2+2xy+y^2\)
I saw the nine, so I know \(y=3\)
\(2xy=12\), and \(y=3\), so \(x=2\)
\(2^2=4, a=4\)
I hope this helped,
Gavin
