Use Newton's method to approximate a root of the equation $\displaystyle {5}{x}^{{7}}+{3}{x}^{{4}}+{4}={0}$ as follows.
Let $\displaystyle {x}_{{1}}={3}$ be the initial approximation.
The second approximation $\displaystyle {x}_{{2}}$ is Preview Question 6 Part 1 of 2  
and the third approximation $\displaystyle {x}_{{3}}$ is Preview Question 6 Part 2 of 2  

Carry at least 4 decimal places through your calculations.