Question

Select the factored form of the expression if it cannot be factored select already in factored form n^2+16n-64

Answer 1

Consider the expression
`n^2+16n-64.`

Since

`D=b^2-4ac=16^2-4\cdot (-64)=256+256=512,\\ \\√(D)=16√(2),`

then

`n_1=(-16+16√(2))/(2)=-8+8√(2),\ n_2=(-16-16√(2))/(2)=-8-8√(2).`

Therefore, the factored form of
`n^2+16n-64` is
`(n+8-8√(2))(n+8+8√(2)).`