SOLUTION: The difference of squares of two consecutive integers is 19. Find the integers. I am not sure how I would set up the equation after the let statements are completed. Let x= the

Question 253903: The difference of squares of two consecutive integers is 19. Find the integers. I am not sure how I would set up the equation after the let statements are completed.
Let x= the first consecutive integer.
let x + 1= the second consecutive integer.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
and the next step is the difference of squares of x and x+1
that means square them and subtract them
(x+1)^2-x^2=19
The x^2's get removed so we end up with
2x+1=19
The answers are consecutive integers
9 and 10
100-81=19
RELATED QUESTIONS
1. Jason says that "the sum of the squares of three consecutive integers is 112." Is this (answered by ewatrrr)

The sum of the squares of two consecutive positive integers is 85. Find both integers. Im (answered by josmiceli)

The sum of the reciprocals of two consecutive odd integers is 8/15. Find the integers. (answered by Alan3354,josgarithmetic)

the difference of the squares of two consecutive odd integers is 48. find the... (answered by checkley71)

the difference of the squares of two consecutive integers is 21. find the... (answered by vidhyak)

the difference of the squares of two consecutive odd integers is 48. find the integers. (answered by checkley71)

the difference of the squares of two consecutive odd integers is 48. find the... (answered by checkley71)

the difference of the squares of two consecutive negative integers is 9. find the... (answered by fractalier)

The difference of the squares of two consecutive negative integers is 9. Find the... (answered by Alan3354,josmiceli)