If the equation 4x^{2}-2kx+3k=0 has equal roots, then what are the values of k?

Explanation

For a quadratic equation to have equal roots, its discriminant must be 0. Hence, b^2 - 4ac = (-2k)^2 - 4(4)(3k) = 0 \implies 4k^2 - 48k = 0 \implies 4k(k-12) = 0. Thus, k = 0 or k = 12.

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