# If x2 + 5kx + 16 = 0 has no real roots, thenA. B. C. D.

Given: The quadratic equation and has no real roots.

Required: To find the value of k

Here,

b2–4ac<0 ( Quadratic equation has no real roots)

(5k)2–4(1)(16)<0

25k2<64

k2<

Applying Square root on both sides

√k2 <

The value of k is

Correct Option is - Option (C)

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