SOLUTION: I am stuck on this problem: The product of two consecutive even integers is 4 more than twice their sum. Find the integers (should have 2 sets of answers). Set up and solve usi

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Question 1038110: I am stuck on this problem:
The product of two consecutive even integers is 4 more than twice their sum. Find the integers (should have 2 sets of answers). Set up
and solve using an algebraic equation and write a complete sentence:
Would it start off :
first number = x
second number= y=4+2x ?
Thank you

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The product of two consecutive even integers is 4 more than twice their sum. Find the integers
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Use x and x+2
x*(x+2) = 2*(x + x+2) + 4
x^2 + 2x = 4x + 8
x^2 - 2x - 8 = 0
(x-4)*(x+2) = 0
x = 4 --> 4 & 6
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x = -2 --> -2 & 0