SOLUTION: When the first of three consecutive positive intergers is multiplied by the third, the result is 1 less than six times the second. find the three integers.

SOLUTION: When the first of three consecutive positive intergers is multiplied by the third, the result is 1 less than six times the second. find the three integers.

Algebra.Com

Question 931465: When the first of three consecutive positive intergers is multiplied by the third, the result is 1 less than six times the second. find the three integers.
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
consecutive positive integers: (x-1), x, (x+1)

(x-1)(x+1) = 6x - 1
x^2 - 1 = 6x - 1
x^2 - 6x = 0
x(x - 6) = 0

The integers are positive, so x = 6 and the integers are 5, 6, and 7.
RELATED QUESTIONS
The first and third of three consecutive odd intergers are added, the result is 69 less... (answered by stanbon)

find four consecutive integers such that if the sum of the first and third is multiplied... (answered by malglu)

if the first and third of three consecutive odd intergers are added, the result is 57... (answered by scott8148)

solve algebraically, using one variable. find three consecutive intergers such that three (answered by jim_thompson5910)

Find three consecutive positive intergers such that the product of the first and second... (answered by htmentor)

three consecutive even intergers are such that the product of the first two is 6 less... (answered by checkley77)

Find three consecutive positive odd intergers such that the sum of the squares of the... (answered by jhaashok630)

Find. Three consecutive positive even integers such that the sum of the second and third... (answered by richwmiller)

find three consecutive positive integers such that the product of the first and third one (answered by CubeyThePenguin)