SOLUTION: the product of two consecutive positive even number is 528.find the numbers.

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Question 256442: the product of two consecutive positive even number is 528.find the numbers.
Answer by unlockmath(1688) About Me  (Show Source):
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Hello,
Let's represent a consecutive number with x and the next even number as x+2. Now we can set up an equation as:
x(x+2)=528 Rewritten as:
x^2 + 2x = 528 Subtract 528 from both sides will give us:
x^2 + 2x - 528 = 0 Now we can factor this as:
(x + 24)(x - 22) = 0
x=-24
x=22
Answer is 22 and 24. Check this out by multiplying them to see if it equals 528.
Make Sense?
RJ
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