Desmos Graphing Calculator

CalcReferenceCopy

Math·Advanced Math·Nonlinear functions

hard

The function $h$ is defined by $h(x)=-\sqrt{x^2+bx+c}$, where $b$ and $c$ are constants. In the xy-plane, the graph of $y=h(x)$ contains the points $(2,0)$ and $(0,-\sqrt{390})$. If $h(m)=0$, what is the greatest possible value of $m$?

1

195