2x^{2} + kx + 3 = 0

Comparing the given equation with ax^{2} + bx + c = 0, we get,

a = 2, b = k and c = 3

As we know, Discriminant = b^{2} – 4ac

= (k)^{2} – 4(2) (3)

= k^{2} – 24

For equal roots, we know,

Discriminant = 0

k^{2} – 24 = 0

k^{2} = 24

k = \( ±\sqrt{24}= ±2\sqrt{6}\)

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