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The positive difference between two consecutive even perfect squares is 268. Compute the larger of the two squares.


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The positive difference between two consecutive even perfect squares is 268268. Compute the larger of the two squares.
in Mathematics by Platinum (98.5k points) | 206 views

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Let \(x\) and \(x+2\) be the two consecutive even perfect squares. We have that \(x^{2}-(x+2)^{2}=268\), which simplifies to \(-4 x-4=268\). Solving for \(x\), we get \(x=-68\). The larger of the two squares is then \((x+2)^{2}=(-68+2)^{2}=4624\). Final Answer: The final answer is 4624 .
by Platinum (98.5k points)

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