Question

If $\alpha$ and $\beta$ are the roots of $a{x}^2-bx+c=0(a\ne 0)$, then calculate $\alpha +\beta$.

Answer 1

Given that $\alpha$ and $\beta$ are the roots of the equation $a{x}^2-bx+c=0$.

Here, $A=a,B=-bC=c$

As we know that,

Sum of roots $=\frac{-B}{A}$

$\therefore \alpha +\beta =\frac{-(-b)}{a}$

$\Rightarrow \alpha +\beta =\frac{b}{a}$