Question

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

Answer 1

`(-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`