Question

For the quadratic equation \[ ax^{2} + bx + c = 0 \] with roots \[ \alpha, \beta \], the sum of the roots \( \alpha + \beta \) equals:

Options

• \( \dfrac{c}{a} \)

• \( \dfrac{b}{a} \)

• \( -\dfrac{c}{a} \)

• \( -\dfrac{b}{a} \)

Answer 1

For \[ ax^{2} + bx + c = 0: \quad \alpha + \beta = -\frac{b}{a} \]. The sum of the roots is the negative of the coefficient of \( x \) divided by the coefficient of \( x^{2} \).