Algebramedium · Past Paper
Find the value of 'a' if roots of ax^2 + 2x + 1 = 0 are real.
Aa ≤ 1
Ba ≥ 1
Ca < 1
Da > 1
✓ Correct Answer: A — a ≤ 1
Real roots mean D ≥ 0. 2^2 - 4(a)(1) ≥ 0 → 4 - 4a ≥ 0 → 4 ≥ 4a → a ≤ 1.
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✓ Correct Answer: A — a ≤ 1
Real roots mean D ≥ 0. 2^2 - 4(a)(1) ≥ 0 → 4 - 4a ≥ 0 → 4 ≥ 4a → a ≤ 1.
Share this question