x² - px + 20 has roots differing by 1, then p is?
- 9
- 10
- 11
- None of these
Explanation
Let roots be α and β. For x² - px + 20:
Sum = α + β = p
Product = αβ = 20
Given: |α - β| = 1
Use (α + β)² = (α - β)² + 4αβ
p² = 1² + 4(20) = 1 + 80 = 81
p = ±9
Last verified on 07-05-2026
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