Use Newton's method to approximate the solution to the equation ( {4}/{x-8}=x+3 ). Use ( x₀=-2 ) as your starting value to find the approximation ( x₂ ) rounded to the nearest thousandth.
a) ( x₂ ≈ -0.626 )
b) ( x₂ ≈ 1.848 )
c) ( x₂ ≈ 2.784 )
d) ( x₂ ≈ 3.937 )