Question

Find two consecutive integers whose product is 182

Answer 1

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! :)