Multiple choice

If $x^{2} - 4x - 12 = 0$, calculate the sum of the roots of the equation.

  1. $-8$
  2. $-6$
  3. $-2$
  4. $2$
  5. $4$
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E Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the sum of the roots is -b/a. Here, a=1 and b=-4, so the sum is -(-4)/1 = 4.

AI explanation

For a quadratic equation ax^2 + bx + c = 0, the sum of the roots is given by -b/a. In the equation x^2 - 4x - 12 = 0, the coefficients are a = 1 and b = -4. The sum of the roots is -(-4)/1, which equals 4.

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