Question

N^2+7n+15=5
show work please

Answer 1

`n^2+7n+15=5`


`n^2+7n=-10`


`n^2+7n+((7)/(2))^2=-10+((7)/(2))^2`


`n^2+7n+(49)/(4)=-10+(49)/(4)`


`(n+(7)/(2))^2=(9)/(4)`


`n+(7)/(2)=\sqrt{(9)/(4)}`


`n=-(7)/(2)+\sqrt{(9)/(4)}`


`n=-2`

`n=-5`

Answer 2

n^2+7n+15=5
n^2 + 7n + 10 = 0
(n + 5)(n + 2) = 0
n + 5 = 0
n = -5
n + 2 = 0
n = -2

Answer: n = -5 and -2