SOLUTION: I need help solving the quadratic word problem: Find three consecutive even integers such that the square of the sum of the smaller two is equal to twice the largest. so far

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Question 316: I need help solving the quadratic word problem:
Find three consecutive even integers such that the square of the sum of the smaller two is equal to twice the largest.
so far I... let x = the first integer, x+2 = the second integer, x+4 = the third integer.
Selina
Answer by GreyWolf79(3) About Me  (Show Source):
You can put this solution on YOUR website!
We'll start from where you left off. If you look at the first part of the problem you will have %28x%2B%28x%2B2%29%29%5E2=2%28x%2B4%29. Combine like terms to get %282x%2B2%29%5E2=2%28x%2B4%29. Multiply it out to get 4x%5E2%2B8x%2B4=2x%2B8.
Combine like terms again to get 4x%5E2%2B6x-4=0. Factor the equation to get 2%282x%5E2%2B3x-2%29=0 and then 2%282x-1%29%28x%2B2%29=0. Solve for x to get x=1%2F2 or x=-2. Due to the original problem saying three consecutive even integers, we can eliminate x=1%2F2. So the final answer is -2, 0, 2.