Answer:
6
Step-by-step explanation:
let n be the positive integer, hence
n² + 2n = 48 ( subtract 48 from both sides )
n² + 2n - 48 = 0 ← in standard form
(n + 8)(n - 6) = 0 ← in factored form
equate each factor to zero and solve for n
n + 8 = 0 ⇒ n = - 8
n - 6 = 0 ⇒ n = 6
Since n is a positive integer then n = 6
