Question

If one root of the quadratic equation $k{x}^2-8x+15=0$ is $3$, then find the value of $k$.

Answer 1

Since, $3$ is root of $k{x}^2-8x+15=0$, it should satisfy the equation.
$\Rightarrow k(3{)}^2-8\times 3+15=0$
$\Rightarrow 9k-24+15=0$
$\Rightarrow 9k=9$
$\Rightarrow k=1$