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

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) (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 . Combine like terms to get . Multiply it out to get .
Combine like terms again to get . Factor the equation to get and then . Solve for x to get or . Due to the original problem saying three consecutive even integers, we can eliminate . So the final answer is -2, 0, 2.
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