SOLUTION: Write down an equation representing the fact that the product of two consecutive integers is 15 greater than the greater of the two integers. Solve your equation to find all the pa

Question 996209: Write down an equation representing the fact that the product of two consecutive integers is 15 greater than the greater of the two integers. Solve your equation to find all the pairs of integers for which the above description is true.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write down an equation representing the fact that the product of two consecutive integers is 15 greater than the greater of the two integers.
Solve your equation to find all the pairs of integers for which the above description is true.
:
Two integers: n, n-1
:
n(n-1) = n + 15
n^2 - n - n - 15 = 0
n^2 - 2n -15 = 0
Factors to
(n-5)(n+3) = 0
Two solutions
n = 5 and 4
n = -3 an -4
;
:
Check the 1st solution: 5 * 4 = 5 + 15
Check the 2nd solution: -3*-4 = -3 + 15
RELATED QUESTIONS
Write an equation representing the fact that the sum of the squares of two consecutive... (answered by macston)

The product of two consecutive odd integers is 22 less than the square of the greater... (answered by algebrahouse.com)

a. Write an equation representing the fact that the sum of the squares of two consecutive (answered by Alan3354)

The greater of two consecutive odd integers is eight more than three times the lesser... (answered by mananth)

the greater of two consecutive integers is 15 more than twice the smaller. Find the... (answered by solver91311)

the greater of two consecutive even integers is 6 less than three times the lesser. write (answered by CubeyThePenguin)

The smaller of 2 consecutive even integers is 5 more than 1/2 of the greater. I am... (answered by scott8148)

The product of two consecutive positive integers is always divisible by an integer... (answered by Greenfinch)

The product of two consecutive positive integers is always divisible by an integer... (answered by Alan3354)