Algebramedium · Past Paper
For what value of p does the equation px^2 - 4x + 3 = 0 have no real roots?
Ap > 4/3
Bp < 4/3
Cp = 4/3
Dp > 3/4
✓ Correct Answer: A — p > 4/3
No real roots means D < 0. (-4)^2 - 4(p)(3) < 0 → 16 - 12p < 0 → 16 < 12p → p > 16/12 → p > 4/3.
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