SOLUTION: Find 3 consecutive integers such that the product of the smallest and largest integers is 1 less than 9 times the middle integer

SOLUTION: Find 3 consecutive integers such that the product of the smallest and largest integers is 1 less than 9 times the middle integer

Algebra.Com

Question 796740: Find 3 consecutive integers such that the product of the smallest and largest integers is 1 less than 9 times the middle integer
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
consecutive integers: (x-1), x, (x+1)

(x-1)(x+1) = 9x - 1
x^2 - 1 = 9x - 1
x^2 - 9x = 0
x(x - 9) = 0
x = 0, x = 9

The integers could be (-1, 0, 1) or (8, 9, 10).
RELATED QUESTIONS
Find three consecutive integers such that the product of the smallest and the largest is... (answered by jorel555)

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

Find the consecutive odd integers such that the sum of the smallest number and middle... (answered by josgarithmetic,ikleyn)

find 3 consecutive integers such that 4 times the middle integer plus the largest integer (answered by josmiceli)

Find 3 consecutive integers such that 4 times the middle integer plus the largest integer (answered by psbhowmick)

Find 3 consecutive integers such that 4 times the middle integer plus the largest integer (answered by psbhowmick)

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

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

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