Multiple choice

The roots of the equation 3x2 – 14x + k = 0 will be reciprocal to each other if:

  1. k = -3

  2. k = 0

  3. k = 3

  4. k = 14
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C Correct answer
Explanation

For the roots of a quadratic equation ax^2 + bx + c = 0 to be reciprocals, the product of the roots (c/a) must equal 1. Here, k/3 = 1, which implies k = 3.

AI explanation

For the roots of the quadratic equation 3x^2 - 14x + k = 0 to be reciprocals of each other, the condition is that the constant term equals the leading coefficient. This means k = 3.

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