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Question

If the equation 9x2+6kx+4=0 has equal roots, then find the value of k = 



Your Answer
A

0

Your Answer
B

2 , 0

Your Answer
C

-2, 0

Correct Answer
D

± 2


Solution

The correct option is D

± 2


Given, the roots of quadratic equation 9x2+6kx+4=0 are real and equal. 

Discriminant, Δ=b24acΔ=36k24(4)(9)=36k24(36)

The roots of quadratic equation are real and equal then Δ=036k24(36)=0k24=0k2=4k=4k=± 2

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