SOLUTION: Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.

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Question 48775: Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
First Integer: i
Second Integer: i + 2
Third Integer: i + 2 + 2 = i + 4
%28i+%2B+4%29%5E2+=+76+%2B+%28i+%2B+2%29%5E2
i%5E2+%2B+8i+%2B+16+=+76+%2B+i%5E2+%2B+4i+%2B+4
i%5E2+-+i%5E2+%2B+8i+%2B+16+=+76+%2B+i%5E2+-+i%5E2+%2B+4i+%2B+4
8i+%2B+16+=+76+%2B+4i+%2B+4
4i+=+64
i+=+16
First Integer: i = 16
Second Integer: i + 2 = 18
Third Integer: i + 4 = 20