Answer:
-18 and -12
Or, 18 and 12
Step-by-step explanation:
Let the integers be 'a' & 'a + 6'.
Their product = 216
=> a x (a + 6) = 216
=> a² + 6a = 216
=> a² + 6a - 216 = 0
=> a² + (18 - 12)a - 216 = 0
=> a² + 18a - 12a - 216 = 0
=> a(a + 18) - 12(a + 18) = 0
=> (a + 18)(a - 12) = 0
=> a = - 18 or a = 12
Integers are: -18 and -18+6 = -12
Or, 12 and 12 + 6 = 18
