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If α, β are the roots of 9x² - 27 x + k = 0, find the value of k such that 2α + 5 β = 7?

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If α, β are the roots of 9x² - 27 x + k = 0, find the value of k such that 2α + 5 β = 7? Answer: 8

Question context

This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the ETEA Educational Testing and Evaluation Agency preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.