Multiple choice

If one root of the equation x2 – 3x + k = 0 is 2, then the value of k will be

  1. -10

  2. 0

  3. 2

  4. 10
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C Correct answer
Explanation

If 2 is a root of x^2 - 3x + k = 0, then substituting x = 2 must satisfy the equation: (2)^2 - 3(2) + k = 0. This simplifies to 4 - 6 + k = 0, which gives -2 + k = 0, so k = 2.

AI explanation

Substitute the known root x = 2 directly into the equation x^2 - 3x + k = 0 to find k. This gives 2^2 - 3(2) + k = 0, which simplifies to 4 - 6 + k = 0. Solving this results in k = 2.

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