Find the integers if the product of two consecutive integers is 182

Ty Gaines

Ty Gaines

Answered question

2022-11-12

Find the integers if the product of two consecutive integers is 182

Answer & Explanation

Abril Orr

Abril Orr

Beginner2022-11-13Added 14 answers

If the positive integers are n and n+1, then
n 2 < n ( n + 1 ) < ( n + 1 ) 2
So
n = n 2 < n ( n + 1 ) < ( n + 1 ) 2 = n + 1
Hence
n = n ( n + 1 ) and n + 1 = n ( n + 1 )
Abdiel Mays

Abdiel Mays

Beginner2022-11-14Added 2 answers

The positive solutions are:
182 = 13 and 182 = 14
There are also negative solutions: −14 and −13

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