Multiple choice

If the sum of the roots of the equation x2 + kx + 12 = 0 is 7, what is the value of k?

  1. -7

  2. -6

  3. -5

  4. -4

  5. -3
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A Correct answer
Explanation

For a quadratic equation x^2 + kx + c = 0, the sum of the roots is -k. Given the sum is 7, -k = 7, so k = -7.

AI explanation

Using Vieta's formulas for a quadratic equation, the sum of the roots is equal to negative b divided by a. For the equation x squared plus k x plus 12 equals 0, the sum of the roots is negative k. Since the sum is given as 7, negative k equals 7, which means k equals negative 7.

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