The product of two consecutive negative integers is 1122. What are the numbers? The product of two consecutive negative integers is 1122. What are the numbers? @Mathematics

Let the two numbers be - x and - x - 1, then

-x (-x - 1) = 1,122

x^2 + x = 1,122

x^2 + x + 1/4 = 1,122 + 1/4

(x + 1/2) ^2 = 4,489/4

x + 1/2 = sqrt (4,489/4) = + or - 67/2

x = 67/2 - 1/2 = 66/2 = 33

Therefore, the two numbers are - 33 and - 34