Question

If $x=2$ the find the values of 'm' for which the quadratic expression $x^2+2mx+m^2$ is negative.

Answer 1

$x=2$

$x^2+2mx+m^2(x+m{)}^2\nless 0$

The least value of square function is $0$ it cannot be negative

So there is no such value of $m$