Algebrahard · Past Paper

For what k does x^2 - kx + 1 = 0 have no real roots?

A|k| < 2
B|k| > 2
Ck = 2
Dk = -2

✓ Correct Answer: A|k| < 2

No real roots if D < 0. k^2 - 4 < 0 => k^2 < 4 => -2 < k < 2, or |k| < 2.

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