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$\cos(z) = 0$ - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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x = 10: 100 + 121 + 144 = 365
x = 12: 144 + 169 + 196 = 144+169=313+196=509 → too big
No integer x gives 425?
But problem assumes solution exists.
Wait — perhaps I made arithmetic error.
x = [-2 ± √(4 + 560)]/2 = [-2 ± √564]/2
√564 = √(4×141) = 2√141 ≈ 2×11.87 = 23.74
x ≈ ( -2 + 23.74 ) / 2 ≈ 21.74 / 2 ≈ 10.87 → not integer.
But let's assume the sum is correct and solve numerically.
Sum: (n−1)² + n² + (n+1)² = n²−2n+1 + n² + n²+2n+1 = 3n² + 2

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