Grades 9-10 Video Solutions 2021-video 2021 9-10/26

Video Transcription

Video Summary

The problem involves two numbers, \( a \) and \( b \), which are squares of integers. Their difference is given as a prime number. By expressing this difference as a product of two factors, \( m-n \) and \( m+n \), the solution involves finding values where one factor is 1 and the other is prime. Calculating potential \( b \) values as \( n^2 \), and solving for \( m = n + 1 \), five sums are analyzed. Among them, only 61 is prime, leading to the conclusion that the correct value for \( b \), given these conditions, is 900, corresponding to option d.

Keywords

squares of integers

prime number

difference

factors

value 900