Multiple choice

Find the sum of the roots of the equation: $x^2 -6x + 8 = 0$

  1. $2$
  2. $-3$
  3. $6$
  4. $8$
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C 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=-6, so the sum is -(-6)/1 = 6.

AI explanation

For any quadratic equation in the standard form ax squared plus bx plus c equals 0, the sum of the roots is given by the formula negative b divided by a. In the equation x squared minus 6x plus 8 equals 0, a equals 1 and b equals negative 6. Applying the formula, the sum equals negative of negative 6 divided by 1, which equals 6.

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