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Question

The positive value of K for which the equation x2 + kx + 64 = 0 has equal roots is :



Correct Answer
A

16

Your Answer
B

-16

Your Answer
C

8

Your Answer
D

-8


Solution

The correct option is A

16


x2 + kx + 64 = 0
Here a = 1, b = k and c = 64
To have equal roots
b2 – 4ac = 0
Therefore, (k)2 – 4  1  64 = 0
k2 – 256 = 0
k2 = 256
k = 16
k = 16 is the positive value of k.

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