SOLUTION: The product of two consecutive even integers is 528. Find the integers.

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Question 585590: The product of two consecutive even integers is 528. Find the integers.
Found 3 solutions by richwmiller, mananth, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x*(x+2)=528
x=-24 (and -22)
x=22 (and 24)

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x & x+2
x(x+2)=528
x^2+2x=528
x^2+2x-528=0
x^2+24x-22x-528=0
x(x+24)-22(x+24)=0
(x+24)(x-22)=0
x= 22,24
OR
-24 , -22

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the consecutive even integers
+n+, and +n+%2B+2+
given:
+n%2A%28+n+%2B+2+%29+=+528+
+n%5E2+%2B+2n+=+528+
Complete the square
+n%5E2+%2B+2n+%2B+%282%2F2%29%5E2+=+528+%2B+%282%2F2%29%5E2+
++n%5E2+%2B+2n+%2B+1+=+528+%2B+1+
+%28+n+%2B+1+%29%5E2+=+529+
+%28+n+%2B+1+%29%5E2+=+23%5E2+
+n+%2B1+=+23+
+n+=+22+
+n+%2B+2+=+24+
The numbers are 22, and 24
check
+22%2A24+=+528+
OK