Question

The sum of roots of the equation \(x^2 - 3x - 28 = 0\) is

• A. -28
• B. 4
• C. -3
• D. 3

Hint:

Remember that the sum of the roots of a quadratic equation is the opposite of the coefficient of \(x\), divided by the coefficient of \(x^2\).

Answer 1

The Correct Option is C

The total of the solutions to a quadratic equation \(ax^2 + bx + c = 0\) is calculated using the formula: \[ \text{Sum of roots} = -\frac{b}{a} \] For the equation \(x^2 - 3x - 28 = 0\), the values are \(a = 1\), \(b = -3\), and \(c = -28\). Therefore, the sum of the solutions is: \[ \text{Sum of roots} = -\frac{-3}{1} = 3 \] The correct answer is 3.