Question

Let $\alpha$ and $\beta$ be the roots of the quadratic equation $a{x}^2+bx+c=0$, then

• A. $\alpha +\beta =\frac{-b}{a}$
• B. $\alpha \beta =\frac{c}{a}$
• C. $\alpha +\beta =\frac{b}{c}$
• D. $\alpha .\beta =\frac{-c}{a}$

Answer 1

Answer: (A), (B)

The correct options are
A $\alpha +\beta =\frac{-b}{a}$
B $\alpha \beta =\frac{c}{a}$

Let $\alpha$ and $\beta$ be the roots of a quadratic equation $a{x}^2+bx+c=0$, then
Sum of the roots is given by $\alpha +\beta =-\frac{b}{a}$

and product of the roots is given by $\alpha \beta =\frac{c}{a}$