2023 · Q115
Suppose that a, b > 0. If the equation x² + ax + b = 0 has real roots, namely α and β, then which one of the following is correct?
General Mental Ability, Quantitative Aptitude and StatisticsAlgebra and data interpretation
- Aα, β > 0
- BIf a > 0, then ẞ < 0
- Cα, β < 0
- D–1< α / β <1
Explanation
For x^2 + ax + b = 0 with a, b > 0, the sum of the roots is -a < 0 and the product is b > 0. Real roots with negative sum and positive product must both be negative. Hence C.