How do you solve 8n^2+4n-16=-n^2?

1 Answer
Jun 20, 2016

(-2+-2sqrt37)/9

Explanation:

8n^2+4n-16=-n^2
9n^2+4n-16=0

n=(-b+-sqrt(b^2-4ac))/(2a)
=(-4+-sqrt(16+4*9*16))/(2*9)
=(-4+-sqrt(16+36*16))/18
=(-4+-sqrt(37*16))/18
=(-4+-4sqrt37)/18
=(-2+-2sqrt37)/9