Question

The sum of roots of a quadratic equation \(3x^2 -7x+11=0\) is

• A. \(\frac 73\)
• B. \(-\frac 73\)
• C. \(\frac 37\)
• D. \(-\frac 37\)

Answer 1

The Correct Option is A

To solve the problem, we need to find the sum of the roots of the quadratic equation \( 3x^2 - 7x + 11 = 0 \).

1. Understanding the Standard Form:
A quadratic equation in the form \( ax^2 + bx + c = 0 \) has the sum of its roots given by the formula:

\( \text{Sum of roots} = -\frac{b}{a} \)

2. Identify Coefficients:
From the given equation \( 3x^2 - 7x + 11 = 0 \), we identify:
\( a = 3, \quad b = -7 \)

3. Applying the Formula:
Substitute the values of \( a \) and \( b \) into the sum formula:

\( \text{Sum of roots} = -\frac{-7}{3} = \frac{7}{3} \)

Final Answer:
The sum of the roots is \( \frac{7}{3} \).