Question

Let quadratic equation be \(ax^2 + bx + c = 0\) then the sum of roots will be :

• A. \(\frac{b}{a}\)
• B. \(-\frac{b}{a}\)
• C. \(\frac{a}{b}\)
• D. \(-\frac{a}{b}\)

Hint:

Vieta's formulas apply to polynomial equations of any degree:
For any polynomial, the sum of the roots is always equal to:
\[ -\frac{\text{Coefficient of second highest term}}{\text{Coefficient of highest term}} \]
For a quadratic \(ax^2 + bx + c = 0\), this is simply \(-\frac{b}{a}\).

Answer 1

The Correct Option is B