Question

n is an integer and
$\sqrt{ \frac{3n - 5}{n + 1} }$
is also an integer. The sum of all such n is ____

Answer 1

$\sqrt{ \frac{3n - 5}{n + 1} } = \sqrt{3 - \frac{8}{n + 1} } \\ for \: integers \\ \:$
n+1=+-(1,2,4,8)
n=3 and n= -9

so sum
3-9= -6

Answer 2

n=3 and 4 and 5 and 6
find the sum
ok