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 ->  Problems-with-consecutive-odd-even-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.      Log On


   



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) About Me  (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.