SOLUTION: Find two consecutive even integers whose product is 224.

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Question 139386: Find two consecutive even integers whose product is 224.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
225 is 15^2, so 14 and 16 are a good guess

let x="1st integer", so x+2="2nd integer"

x(x+2)=224 __ x^2+2x-224=0 __ factoring __ (x+16)(x-14)=0

x+16=0 __ x=-16

x-14=0 __ x=14

integers are 14 and 16 OR -16 and -14