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If (n+3)^2 = a (n + 2)^2 + b(n + 1)^2 + ...

If `(n+3)^2 = a (n + 2)^2 + b(n + 1)^2 + cn^2` holds true for every positive integer `n`, then the quadratic equation `ax^2 + bx + c = 0` has

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