lamashermosa23
19.12.2020 •
Mathematics
All the roots of
\[x^2 + px + q = 0\]are real, where $p$ and $q$ are real numbers. Prove that all the roots of
\[x^2 + px + q + (x + a)(2x + p) = 0\]are real, for any real number $a.$
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Ответ:
(88 + 66 + 22) → 22 × (4 +3 + 1)
(16 + 28 + 48) → 4 × (4 + 7 + 12)
(54 + 81 + 27) → 27 × (2 + 3 + 1)
(126 + 28 + 14) → 14 × (9 + 2 + 1)
(36 + 96 + 12) → 12 × (3 + 8 + 1)
(18 + 36 + 27) → 9 × (2 + 4 + 3)