Answer:
- 3 and 12
Step-by-step explanation:
let n be the number , then
n² - 9n = 36 ( subtract 36 from both sides )
n² - 9n - 36 = 0
Consider the factors of the constant term (- 36) which sum to give the coefficient of the n- term (- 9)
The factors are - 12 and + 3 , since
- 12 × 3 = - 36 and - 12 + 3 = - 9 , then
(n - 12)(n + 3) = 0
Equate each factor to zero and solve for n
n - 12 = 0 ⇒ n = 12
n + 3 = 0 ⇒ n = - 3
The 2 numbers are - 3 and 12
