Question

Find the value of $k$ for which $2$ is a root of the quadratic equation $2x^2-kx+k=0.$

Answer 1

Given $2$ is the root of equation $2x^2-kx+k=0$

implies that, the root should satisfy the equation.

$2(2{)}^2-k(2)+k=0$

$8-2k+k=0$

$\therefore k=8$

Hence, this is the answer.