Question

Find the value of k for which the equation x2 +5x +16=0 has real roots

Answer 1

Answer:

for real and equal roots D >= 0

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

b2 - 4ac >= 0

b2 >= 4ac

( 5k )2 >= 4 x 1 x 16

25k2 >= 64

k2 >= 64/25

k >= root 64/25

k >= 8/5

hence k = 8/5 or k > 8/5

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