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Home » Their squares sum to \( (n - 1)^2 + n^2 + (n + 1)^2 = 365 \). - Veritas Home Health

Their squares sum to \( (n - 1)^2 + n^2 + (n + 1)^2 = 365 \). - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\( x = rac{-35 \pm \sqrt{35^2 - 4(2)(-102)}}{2(2)} \)
\( x = rac{-35 \pm \sqrt{1225 + 816}}{4} = rac{-35 \pm \sqrt{2041}}{...
Approximate \( \sqrt{2041} pprox 45.18 \)
\( x = rac{-35 + 45.18}{4} = rac{10.18}{4} pprox 2.545 \)
Since width must be positive, \( x pprox 2.55 \) meters.
For exact form, solve:
But since area is 504, try factoring:
Actually, solving \( 2x^2 + 35x - 102 = 0 \):
Try rational roots or accept approximation.
Use exact discriminant:

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