Question

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

Answer 1

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