2022 · Q31
If α and β are the roots of the quadratic equation x² + α x + β = 0, where β ≠ 0, then what is the value of α - β?
Elementary MathematicsAlgebra
- A4
- B3
- C-1
- D-3
Explanation
Sum of roots: α+β = -α gives β = -2α; product: αβ = β, and β≠0 gives α = 1, so β = -2. Thus α-β = 3. Hence the keyed option is B.