Answer: \(x^2 - 2x - 44 = 0\)
Equation: \(x^2 - (\alpha + \beta)x + \alpha\beta = 0\).
Sum \(= (1 - 3\sqrt{5}) + (1 + 3\sqrt{5}) = 2\)
Product \(= 1 - (3\sqrt{5})^2 = 1 - 45 = -44\)
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Doubtly AI
· 24 Oct 2026
AI-verified · Oct 2026
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