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Home » The sum of the squares of two consecutive even numbers is 340. What are the numbers? - Leaselab

The sum of the squares of two consecutive even numbers is 340. What are the numbers? - Leaselab

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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rac{0}{9} + rac{y^2}{4} = 1 \Rightarrow y^2 = 4 \Rightarrow y = \pm 2
Points: \((0, 2), (0, -2)\)
\(x = \pm 1\):
rac{1}{9} + rac{y^2}{4} = 1 \Rightarrow rac{y^2}{4} = rac{8}{9} \Ri...
ot\in \mathbb{Z}
No solutions.
\(x = \pm 2\):
rac{4}{9} + rac{y^2}{4} = 1 \Rightarrow rac{y^2}{4} = rac{5}{9} \Ri...
\(x = \pm 3\):
rac{9}{9} + rac{y^2}{4} = 1 \Rightarrow 1 + rac{y^2}{4} = 1 \Rightar...

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