Question 503482
Two consecutive negative integers are: x and x+1.
.
x*(x+1) = 1122
x^2 +x -1122 = 0
.
To factor this equation you need two value to multiply that are 1 apart and = 1122.
Given the small difference, the square root is a good first guess.
sqrt(1122)=33.4962
.
So test 33 and 34.
33 * 34 = 1122
.
(x-33)(x+34) = 0
.
So, x = 33 or -34.
We're looking for negative numbers, so x = -34.
x+1 = -33
.
Answer:  The two numbers are -33 and -34.
.
Done.