SOLUTION: Find three consecutive integers such that the product of the smallest and the largest is one less than 9 times the middle integer.

SOLUTION: Find three consecutive integers such that the product of the smallest and the largest is one less than 9 times the middle integer.

Algebra.Com

Question 1003646: Find three consecutive integers such that the product of the smallest and the largest is one less than 9 times the middle integer.
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let n be the smallest integer. Then
n(n+2)=9(n+1)-1
n^2+2n=9n+8
n^2-7n-8=0
(n-8)(n+1)=0
n=8,-1
Assuming positive integers, then your consecutive integers are 8,9,and 10!!!!!!!!!!!!!!
RELATED QUESTIONS
Find three consecutive integers such that the product of the smallest and the largest is... (answered by CubeyThePenguin)

Find 3 consecutive integers such that the product of the smallest and largest integers is (answered by CubeyThePenguin)

Find three consecutive positive even integers such that the product of the median and... (answered by josgarithmetic)

Find three consecutive positive even integers such that the product of the median and... (answered by math_tutor2020)

Solve algebraically using one variable. Find three consecutive even integers such that... (answered by bucky)

Find three positive consecutive integers such that the product of the smallest and the... (answered by Alan3354)

find three consecutive integers such that the sum of one-half of the smallest and... (answered by RAY100)

Find three consecutive even integers such that 50 times the smallest is 88 less than 46... (answered by Alan3354)

Find three consecutive odd integers such that the sum of the smallest and largest is... (answered by kevwill)