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Home » \( a = 0 \) or \( 2 \) → 2 choices - SUpost

\( a = 0 \) or \( 2 \) → 2 choices - SUpost

📅 July 5, 2026 👤 scraface

Jul 05, 2026

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\text{Sum of roots} = 6
Since $ t = \sqrt{u} \geq 0 $, and all roots are real and non-negative...
\sum u = \sum t^2
We compute $ \sum t^2 $ using the identity:
\sum t^2 = (\sum t)^2 - 2\sum t_i t_j
From the cubic:
$ \sum t = 6 $
$ \sum t_i t_j = 7 $
\sum t^2 = 6^2 - 2 \cdot 7 = 36 - 14 = 22
Thus, the sum of the roots of the original equation in $ u $ is $ \box...

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