SOLUTION: can you find the second of four consecutive even integers such that the product of the first and fourth integer will be the square of the second integer?

Question 473642: can you find the second of four consecutive even integers such that the product of the first and fourth integer will be the square of the second integer?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the second of four consecutive even integers such that the product of the first and fourth integer will be the square of the second integer?
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1st: 2x-2
2nd: 2x
3rd: 2x+2
4th: 2x+4
===============
Equation:
(2x-2)(2x+4) = (2x)^2
----
4x^2+4x-8 = 4x^2
4x-8 = 0
x = 2
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2nd: 2x = 4
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cheers,
Stan H.
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