Complete Two Iterations of Newton's Method for the Function $f ( x ) = x ^ { 2 } - 7 \text { using the }$

Multiple Choice

Complete two iterations of Newton's Method for the function
$f ( x ) = x ^ { 2 } - 7 \text { using the }$ initial guess $\text { 2.6. Round your answers to four decimal places. }$

A) $2.6463,2.6456$
B) $2.6463,2.6460$
C) $2.6463,2.6459$
D) $2.6459,2.6457$
E) $2.6462,2.6458$