Posted by jamie on Thursday, January 31, 2013 at 6:23pm.
the product of three consecutive integers is 22 less than the cube of the middle integer. Find the integer.

math  Reiny, Thursday, January 31, 2013 at 7:08pm
let the 3 consecutive integers be
x1, x, and x+1
( I wanted to cube x , not x+1 )
x(x1)(x+1) = x^3  22
x^3  x = x^3  22
x = 22
the 3 integers are 21 , 22, and 23
check: product of 3 numbers = 21x22x23 = 10626
cube of 22 = 10648
is the product 22 less than the cube? YES
Answer This Question
Related Questions
 math  A. Four times one odd integer is 14 less than three times the next even ...
 math  The smallest of three consecutive integers is added to twice the largest...
 maths  The smallest of three consecutive integers is added to the largest, the ...
 maths  The smallest of three consecutive integers is added to the largest, the ...
 Algebra  A.Write and solve an equation to find three consecutive integers with ...
 Algebra  A.Write and solve an equation to find three consecutive integers with ...
 maths  1. If the first and third of three consecutive odd integers are added, ...
 la sallle  There are 3 consecutive even integers such that the quotient ...
 math  What is the smallest of three consecutive integers if the sum of the ...
 math  What is the smallest of three consecutive integers if the sum of the ...
More Related Questions