Consecutive integers are two numbers right after each other (with a difference of one) on the number line. If not specified, they can be positive or negative.
x= first consecutive integer
x+1= second consecutive integer
product= multiplication result
(x)(x + 1)= 182
multiply x by parentheses
(x*x) + (x*1)= 182
x^2 + x= 182
subtract 182 from both sides
x^2 + x - 182= 0
factor
(x − 13)(x + 14)= 0
set each parentheses equal to 0
x − 13= 0 or x + 14= 0
x= 13 OR x= −14
SECOND CONSECUTIVE INTEGER
x + 1= 13 + 1= 14
OR
x + 1= -14 + 1= -13
ANSWER: Since the question does not specify positive or negative consecutive integers, the two consecutive integers could be 13 and 14 OR -14 and -13.
Hope this helps! :)