Question

Determine whether the values given against the quadratic equation are the roots of the quadratic equation or not:
$2m^2-5m=0,m=2,\frac{5}{2}$

Answer 1

$f\left(m\right)=2m^2-5m$

The roots of the above equation are

$2m^2-5m=0$

$\Rightarrow m(2m-5)=0$

$\Rightarrow m=0$ or $m=\frac{5}{2}$

So, $m=\frac{5}{2}$ is a root whereas $m=2$ is not a root.