If the roots of x² - px + 6 = 0 are in the ratio 2:3, then p =
Solution
Let roots = 2k, 3k. Sum = 5k = p → p = 5k. Product = 6k² = 6 → k²=1 → k=±1. If k=1: p=5. If k=-1: p=-5. So p = ±5. But the question likely expects positive: p=5.
About this question
Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Topic: Roots and Their Properties
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