Question

Find the value of k for which the equation x^2 + 5kx + 16=0 has real and equal roots.

Answers quickly please

Answer 1

Answer:

8/5

Step-by-step explanation:

Answer 2

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The value of k is ±8/5

step-by-step explanation:

Given quadratic equation,

x^2 + 5kx + 16 = 0

Here,

a = 1

b = 5k

c = 16

Now,

for the roots to be real and equal,

the Descriminant (D) must be equal to zero.

=> b^2 - 4ac = 0

=> (5k)^2 -4×1×16 = 0

=> 25k^2 - 64 = 0

=> k^2 = 64/25

=> k = ± 8/5