Multiple choice

Find the sum of the values of k for the equation (kx(x - 2) + 6 = 0) so that it has two equal roots.

  1. 6

  2. 5

  3. 4

  4. 3
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A Correct answer
Explanation

For equal roots, discriminant must be zero. The equation kx² - 2kx + 6 = 0 has discriminant D = (-2k)² - 4(k)(6) = 4k² - 24k = 4k(k-6) = 0. This gives k = 0 or k = 6. If k = 0, the equation becomes 6 = 0, which has no solution. Therefore k = 6, and the sum of values is 6.

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