CDS 2022 · PYQ · Algebra · medium
If α and β are the roots of the quadratic equation x² + αx + β = 0, where β ≠ 0, then what is the value of α - β?
Answer
The correct answer is D: 3. Sum α+β = -α, so β = -2α. Product αβ = β, so α=1 (since β≠0).
- A.-1
- B.4
- C.-3
- D.3✓ Correct
Sum α+β = -α, so β = -2α. Product αβ = β, so α=1 (since β≠0). Then β=-2. α-β = 1-(-2) = 3.
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