Multiple choice

If one root of the equation $3x^{2}-9x = kx-k$ is 2, then the value of k is

  1. 4

  2. 3

  3. -6

  4. -8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Substitute x = 2 into 3x^2 - 9x = kx - k. 3(4) - 9(2) = k(2) - k. 12 - 18 = k. k = -6.

AI explanation

Substitute x = 2 into the equation 3x^2 - 9x = kx - k to get 3(2)^2 - 9(2) = k(2) - k. Simplifying this gives 12 - 18 = 2k - k, so k = -6. The result is -6.

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