Solve the Problem $y = \sqrt { x }$ And $y = 5 - x ^ { 2 }$

Multiple Choice

Solve the problem.
-The graphs of $y = \sqrt { x }$ and $y = 5 - x ^ { 2 }$ intersect at one point $x = r$ . Use Newton's method to estimate the value of $r$ to four decimal places.

A) $r \approx 2.9208$
B) $r \approx 1.9208$
C) $r \approx 1.9028$
D) $\mathrm { r } \approx 2.9028$