Question

The sum of the roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) is:

• A. \(\frac{5}{3}\)
• B. \(-\frac{5}{3}\)
• C. \(-\frac{3}{5}\)
• D. \(\frac{3}{5}\)

Hint:

To find the sum of the roots of a quadratic equation, use the formula \(-\frac{b}{a}\).

Answer 1

The Correct Option is B

The sum of the roots of a quadratic equation \(ax^2 + bx + c = 0\) is given by the formula: \[ \text{Sum of roots} = -\frac{b}{a} \] For the equation \(3x^2 - 5x + 2 = 0\), we have \(a = 3\), \(b = -5\), and \(c = 2\). Therefore, the sum of the roots is: \[ \text{Sum of roots} = -\frac{-5}{3} = \frac{5}{3} \] Thus, the correct answer is option (2).