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) (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) (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) (Show Source): You can put this solution on YOUR website!
Call the consecutive even integers
, and
given:
Complete the square
The numbers are 22, and 24
check
OK
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