Answer:
Step-by-step explanation:
Let the two consecutive integers be x , x + 1
Product of the two consecutive integers = x * (x+1) = x*x + x*1
= x² + x
sum of two consecutive integers = x + x +1 = 2x +1
x² + x - (2x + 1 ) = 11
x² + x - 2x - 1 = 11
x² - x -1 -11 = 0
x² - x - 12 = 0
x² - 4x + 3x - 12 = 0
x(x-4) + 3(x-4) =0
(x-4) (x +3) = 0
x- 4 = 0 or x + 3 = 0
x = 4 0r x = -3
If x = 4 , the the consecutive numbers are 4 and 5
If x = -3, the consecutive numbers are -3 and -2
