Desmos Graphing Calculator

CalcReferenceCopy

Math·Advanced Math·Nonlinear functions

hard

The function $g$ is defined by $g(x)=-\sqrt{x^2+bx+c}$, where $b$ and $c$ are integers. In the $xy$-plane, the graph of $y=g(x)$ passes through the points $(2,0)$ and $(0,-\sqrt{298})$. If $m$ is a value for which $g(m)=0$, what is the greatest possible value of $m$?

A

-150

B

2

C

149

D

150