Question

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

• A. \( \frac{3}{5} \)
• B. \( -\frac{3}{5} \)
• C. \( \frac{2}{5} \)
• D. \( -\frac{2}{5} \)

Hint:

The sum of the roots of a quadratic equation \( ax^2 + bx + c = 0 \) is given by \( -\frac{b}{a} \).

Answer 1

The Correct Option is B

For a quadratic equation \( ax^2 + bx + c = 0 \), the sum of the roots is given by the formula: \[ \text{Sum of the roots} = -\frac{b}{a} \]
Step 1: Identify the values of \( a \), \( b \), and \( c \).
For the equation \( 5x^2 - 3x + 2 = 0 \), we have: - \( a = 5 \) - \( b = -3 \) - \( c = 2 \)
Step 2: Apply the formula.
The sum of the roots is: \[ \text{Sum of the roots} = -\frac{-3}{5} = \frac{3}{5} \]
Step 3: Conclusion.
Therefore, the sum of the roots of the equation is \( \frac{3}{5} \).