The Difference of the Squares of Two Consecutive Integers Is $1307$

question 39

Essay

The difference of the squares of two consecutive integers is $1307$ . Find the integers.

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Definitions:

Hypnotism

A trance-like state of focused attention, reduced peripheral awareness, and increased responsiveness to suggestion.

Syndromes

A collection or set of symptoms and signs that are often found together and characterize a particular disease or medical condition.

Groups of Symptoms

Refers to a set or cluster of signs and symptoms that frequently occur together and characterize a particular disorder or disease.

Diatheses

An inherent vulnerability or predisposition in an individual that makes them more susceptible to developing disorders or diseases.