SOLUTION: Find three consecutive even integers such that the product of the first and second is four less than the square of the third.

Algebra ->  Algebra  -> Sequences-and-series -> SOLUTION: Find three consecutive even integers such that the product of the first and second is four less than the square of the third.      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 473374: Find three consecutive even integers such that the product of the first and second is four less than the square of the third.
Answer by stanbon(57203) About Me  (Show Source):
You can put this solution on YOUR website!
Find three consecutive even integers such that the product of the first and second is four less than the square of the third.
---
1st: 2x-2
2nd: 2x
3rd: 2x+2
-------------------
Equation:
(2x-2)(2x) = (2x+2)^2-4
---
4x^2-4x = 4x^2 + 8x + 4 -4
----
12x = 0
x = 0
---
1st: 2*0-2 = -2
2nd: 2x = 0
3rd: 2x+2 = 2
===================
Cheers,
Stan H.
===================