Question:
If α and β are roots of the equation
x²+px+(3p)/(4)=0,
such that |α-β|=√(10), then p belongs to the set
If α and β are roots of the equation
x²+px+(3p)/(4)=0,
such that |α-β|=√(10), then p belongs to the set
Show Hint
Use (α-β)²=(α+β)²-4αβ.
Updated On: Mar 20, 2026
- \(\{2,-5\}\)
- \(\{-3,2\}\)
- \(\{-2,5\}\)
- 3,-5
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The Correct Option is C
Solution and Explanation
(α-β)²=(α+β)²-4αβ
10=p²-3p
p²-3p-10=0
⟹ p=5,-2
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