Question

Find value of k for equation x^2+5kx+16=0 has no real roots ... In need a full explanation

Answer 1

Given quadratic equation is x2 + 5kx + 16 = 0

here a = 1, b = 5k and c = 16

Since there are no real roots,

b2 – 4ac < 0

That is (5k)2 – 4(1)(16) < 0

⇒ 25k2 < 64 ⇒

k2 < 64/25 ⇒ k2 < (8/5)2

That is k < 8/5

Answer 2

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