If the roots of the equation x² − 6x + k = 0 are equal, then the value of k is

9. Equal roots require the discriminant to be zero: 6² − 4k = 0, so 36 = 4k and k = 9.

If the roots of the equation $x^{2} - 6 x + k = 0$ are equal, then the value of $k$ is

Competition practiceAlgebra

Equal roots require the discriminant to be zero:

6^{2} - 4 k = 0

, so

36 = 4 k

and

k = 9

Answer: C) 9

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