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Question

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

A
2 or 0
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B
-2 or 2
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C
2 or 2
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Solution

The correct option is B -2 or 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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