Question

If one root of $x^2-5x+k=0$ is $2$, then find the value of k.

Answer 1

${}^{\prime }{\alpha }^{\prime }$ & ${}^{\prime }{\beta }^{\prime }$ be 'z' roots of eq${}^n$

then $\alpha +\beta =\frac{(-b)}{a}=5=\alpha +2$

$\Rightarrow \alpha =3$

$\alpha \beta =\frac{c}{a}=k=3\times 2=6\Rightarrow k=6$