SOLUTION: Find two positive consecutive even numbers such that four times the square of the smaller one exceeds twice the square of the larger one by 56

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Question 933323: Find two positive consecutive even numbers such that four times the square of the smaller one exceeds twice the square of the larger one by 56
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4N%5E2=2%28N%2B2%29%5E2%2B56
4N%5E2=2%28N%5E2%2B4N%2B4%29%2B56
4N%5E2=2N%5E2%2B8N%2B8%2B56
2N%5E2-8N-64=0
N%5E2-4N-32=0
%28N-8%29%28N%2B4%29=0
Using only the positive solution,
N-8=0
N=8
N%2B2=10