Parameter rangeHardQuestion 220030
Question
The set of values of p for which x² + px + 1 = 0 has real roots is:
- Ap ≥ 2 or p ≤ −2Correct
- B−2 < p < 2
- Cp = ±2
- Dp > 0
Correct answer
p ≥ 2 or p ≤ −2
Explanation
D = p² − 4 ≥ 0 → p² ≥ 4 → |p| ≥ 2 → p ≥ 2 or p ≤ −2.