Question

Find the sum of the roots of the quadratic equation $ 2x^2 - 5x + 3 = 0 $.

• A. \( \frac{5}{2} \)
• B. \( \frac{3}{2} \)
• C. \( \frac{7}{2} \)
• D. \( \frac{1}{2} \)

Hint:

Remember: The sum of the roots of a quadratic equation is given by \( -\frac{b}{a} \).

Answer 1

The Correct Option is A

Step 1: Use the sum of roots formula for a quadratic equation
For a quadratic equation of the form \( ax^2 + bx + c = 0 \), the sum of the roots is given by: \[ \text{Sum of roots} = -\frac{b}{a} \] 
Step 2: Apply the formula
For the quadratic equation \( 2x^2 - 5x + 3 = 0 \), we have: - \( a = 2 \), - \( b = -5 \), - \( c = 3 \). 
Using the sum of roots formula: \[ \text{Sum of roots} = -\frac{-5}{2} = \frac{5}{2} \] 
Answer:
Therefore, the sum of the roots is \( \frac{5}{2} \). So, the correct answer is option (1).